College Algebra Essentials (5th Edition)
5th Edition
ISBN: 9780134469294
Author: Blitzer, Robert F.
Publisher: PEARSON
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Question
Chapter P.5, Problem 71E
To determine
To find: The factors of the polynomial
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Check out a sample textbook solutionStudents have asked these similar questions
In Exercises 133–136, factor each polynomial completely. Assume
that any variable exponents represent whole numbers.
133. y + x + x + y
134. 36x2" – y2n
135. x*
3n
12n
136. 4x2" + 20x"y" + 25y2m
For Exercises 115–120, factor the expressions over the set of complex numbers. For assistance, consider these examples.
• In Section R.3 we saw that some expressions factor over the set of integers. For example: x - 4 = (x + 2)(x – 2).
• Some expressions factor over the set of irrational numbers. For example: - 5 = (x + V5)(x – V5).
To factor an expression such as x + 4, we need to factor over the set of complex numbers. For example, verify that
x + 4 = (x + 2i)(x – 2i).
115. а. х
- 9
116. а. х?
- 100
117. а. х
- 64
b. x + 9
b. + 100
b. x + 64
118. а. х — 25
119. а. х— 3
120. а. х — 11
b. x + 25
b. x + 3
b. x + 11
For Exercises 8–10,
a. Simplify the expression. Do not rationalize the denominator.
b. Find the values of x for which the expression equals zero.
c. Find the values of x for which the denominator is zero.
4x(4x – 5) – 2x² (4)
8.
-6x(6x + 1) – (–3x²)(6)
(6x + 1)2
9.
(4x – 5)?
-
10. V4 – x² - -() 2)
Chapter P Solutions
College Algebra Essentials (5th Edition)
Ch. P.1 - Evaluates 8 + 6(x 3)2 for x = 13.Ch. P.1 - Check Point 2 a. Use the formula T = 4x2 + 330x +...Ch. P.1 - Find the intersection: {3, 4, 5, 6, 7} {3, 7, 8,...Ch. P.1 - Prob. 4CPCh. P.1 - Consider the following set of numbers:...Ch. P.1 - Rewrite each expression without absolute value...Ch. P.1 - Find the distance between 4 and 5 on the real...Ch. P.1 - Simplify: 7(4x2+3x)+2(5x2+x).Ch. P.1 - Simplify: 6+4[7(x2)].Ch. P.1 - Fill in each blank so that the resulting statement...
Ch. P.1 - Fill in each blank so that the resulting statement...Ch. P.1 - Fill in each blank so that the resulting statement...Ch. P.1 - Prob. 4CVCCh. P.1 - Prob. 5CVCCh. P.1 - Prob. 6CVCCh. P.1 - Prob. 7CVCCh. P.1 - Prob. 8CVCCh. P.1 - Prob. 9CVCCh. P.1 - Fill in each blank so that the resulting statement...Ch. P.1 - Fill in each blank so that the resulting statement...Ch. P.1 - Fill in each blank so that the resulting statement...Ch. P.1 - Fill in each blank so that the resulting statement...Ch. P.1 - Fill in each blank so that the resulting statement...Ch. P.1 - Prob. 15CVCCh. P.1 - Fill in each blank so that the resulting statement...Ch. P.1 - Fill in each blank so that the resulting statement...Ch. P.1 - Prob. 18CVCCh. P.1 - Prob. 19CVCCh. P.1 - In Exercises 116, evaluate each algebraic...Ch. P.1 - Prob. 2ECh. P.1 - In Exercises 116, evaluate each algebraic...Ch. P.1 - In Exercises 116, evaluate each algebraic...Ch. P.1 - Prob. 5ECh. P.1 - Prob. 6ECh. P.1 - Prob. 7ECh. P.1 - Prob. 8ECh. P.1 - Prob. 9ECh. P.1 - In Exercises 116, evaluate each algebraic...Ch. P.1 - Prob. 11ECh. P.1 - Prob. 12ECh. P.1 - In Exercises 116, evaluate each algebraic...Ch. P.1 - Prob. 14ECh. P.1 - Prob. 15ECh. P.1 - Prob. 16ECh. P.1 - The formula C=59(F32) expresses the relationship...Ch. P.1 - Prob. 18ECh. P.1 - Prob. 19ECh. P.1 - Prob. 20ECh. P.1 - Prob. 21ECh. P.1 - In Exercises 2128, find the intersection of the...Ch. P.1 - Prob. 23ECh. P.1 - In Exercises 2128, find the intersection of the...Ch. P.1 - In Exercises 2128, find the intersection of the...Ch. P.1 - Prob. 26ECh. P.1 - In Exercises 2128, find the intersection of the...Ch. P.1 - Prob. 28ECh. P.1 - In Exercises 2934, find the union of the sets....Ch. P.1 - Prob. 30ECh. P.1 - Prob. 31ECh. P.1 - Prob. 32ECh. P.1 - Prob. 33ECh. P.1 - In Exercises 2934, find the union of the sets....Ch. P.1 - Prob. 35ECh. P.1 - Prob. 36ECh. P.1 - Prob. 37ECh. P.1 - In Exercises 3538, list all numbers from the given...Ch. P.1 - Prob. 39ECh. P.1 - Prob. 40ECh. P.1 - Prob. 41ECh. P.1 - Give an example of a number that is a rational...Ch. P.1 - Determine whether each statement in Exercises 4350...Ch. P.1 - Determine whether each statement in Exercises 4350...Ch. P.1 - Determine whether each statement in Exercises 4350...Ch. P.1 - Prob. 46ECh. P.1 - Prob. 47ECh. P.1 - Prob. 48ECh. P.1 - Prob. 49ECh. P.1 - Prob. 50ECh. P.1 - In Exercises 5160, rewrite each expression without...Ch. P.1 - In Exercises 5160, rewrite each expression without...Ch. P.1 - Prob. 53ECh. P.1 - Prob. 54ECh. P.1 - Prob. 55ECh. P.1 - Prob. 56ECh. P.1 - Prob. 57ECh. P.1 - In Exercises 5160, rewrite each expression without...Ch. P.1 - Prob. 59ECh. P.1 - In Exercises 5160, rewrite each expression without...Ch. P.1 - Prob. 61ECh. P.1 - Prob. 62ECh. P.1 - In Exercises 6166, evaluate each algebraic...Ch. P.1 - In Exercises 6166, evaluate each algebraic...Ch. P.1 - In Exercises 6166, evaluate each algebraic...Ch. P.1 - Prob. 66ECh. P.1 - In Exercises 6774, express the distance between...Ch. P.1 - In Exercises 6774, express the distance between...Ch. P.1 - Prob. 69ECh. P.1 - Prob. 70ECh. P.1 - Prob. 71ECh. P.1 - Prob. 72ECh. P.1 - Prob. 73ECh. P.1 - In Exercises 6774, express the distance between...Ch. P.1 - Prob. 75ECh. P.1 - Prob. 76ECh. P.1 - Prob. 77ECh. P.1 - Prob. 78ECh. P.1 - Prob. 79ECh. P.1 - Prob. 80ECh. P.1 - Prob. 81ECh. P.1 - Prob. 82ECh. P.1 - In Exercises 7584, state the name of the property...Ch. P.1 - In Exercises 7584, state the name of the property...Ch. P.1 - Prob. 85ECh. P.1 - Prob. 86ECh. P.1 - In Exercises 8596, simplify each algebraic...Ch. P.1 - Prob. 88ECh. P.1 - Prob. 89ECh. P.1 - Prob. 90ECh. P.1 - Prob. 91ECh. P.1 - Prob. 92ECh. P.1 - Prob. 93ECh. P.1 - Prob. 94ECh. P.1 - Prob. 95ECh. P.1 - Prob. 96ECh. P.1 - In Exercises 97102, write each algebraic...Ch. P.1 - Prob. 98ECh. P.1 - Prob. 99ECh. P.1 - Prob. 100ECh. P.1 - Prob. 101ECh. P.1 - Prob. 102ECh. P.1 - Prob. 103ECh. P.1 - Prob. 104ECh. P.1 - Prob. 105ECh. P.1 - Prob. 106ECh. P.1 - In Exercises 103110, insert either , , or = in the...Ch. P.1 - Prob. 108ECh. P.1 - Prob. 109ECh. P.1 - Prob. 110ECh. P.1 - Prob. 111ECh. P.1 - Prob. 112ECh. P.1 - Prob. 113ECh. P.1 - Prob. 114ECh. P.1 - Prob. 115ECh. P.1 - In Exercises 111120, use the order of operations...Ch. P.1 - In Exercises 111120, use the order of operations...Ch. P.1 - Prob. 118ECh. P.1 - Prob. 119ECh. P.1 - Prob. 120ECh. P.1 - In Exercises 121128, write each English phrase as...Ch. P.1 - Prob. 122ECh. P.1 - Prob. 123ECh. P.1 - Prob. 124ECh. P.1 - Prob. 125ECh. P.1 - Prob. 126ECh. P.1 - In Exercises 121128, write each English phrase as...Ch. P.1 - Prob. 128ECh. P.1 - Application Exercises The maximum heart rate, in...Ch. P.1 - Prob. 130ECh. P.1 - The bar graph shows the average cost of tuition...Ch. P.1 - The bar graph shows the average cost of tuition...Ch. P.1 - Prob. 133ECh. P.1 - Prob. 134ECh. P.1 - Prob. 135ECh. P.1 - Prob. 136ECh. P.1 - Prob. 137ECh. P.1 - Prob. 138ECh. P.1 - Prob. 139ECh. P.1 - Prob. 140ECh. P.1 - An effective way to understand something is to...Ch. P.1 - Prob. 142ECh. P.1 - Prob. 143ECh. P.1 - Make Sense? In Exercises 144147, determine whether...Ch. P.1 - Make Sense? In Exercises 144147, determine whether...Ch. P.1 - Make Sense? In Exercises 144147, determine whether...Ch. P.1 - Prob. 147ECh. P.1 - Prob. 148ECh. P.1 - In Exercises 148-155, determine whether each...Ch. P.1 - Prob. 150ECh. P.1 - Prob. 151ECh. P.1 - Prob. 152ECh. P.1 - Prob. 153ECh. P.1 - Prob. 154ECh. P.1 - In Exercises 148155, determine whether each...Ch. P.1 - Prob. 156ECh. P.1 - Prob. 157ECh. P.1 - Prob. 158ECh. P.1 - Exercises 159161 will help you prepare for the...Ch. P.1 - Exercises 159161 will help you prepare for the...Ch. P.1 - Exercises 159161 will help you prepare for the...Ch. P.2 - Multiply each expression using the product rule:...Ch. P.2 - Divide each expression using the quotient rule:...Ch. P.2 - Prob. 3CPCh. P.2 - Prob. 4CPCh. P.2 - Prob. 5CPCh. P.2 - Simplify: a.(2y)5 b.(x53)3.Ch. P.2 - Prob. 7CPCh. P.2 - Prob. 8CPCh. P.2 - Prob. 9CPCh. P.2 - Prob. 10CPCh. P.2 - Prob. 11CPCh. P.2 - Prob. 12CPCh. P.2 - Prob. 1CVCCh. P.2 - Prob. 2CVCCh. P.2 - Prob. 3CVCCh. P.2 - Prob. 4CVCCh. P.2 - Fill in each blank so that the resulting statement...Ch. P.2 - Prob. 6CVCCh. P.2 - Prob. 7CVCCh. P.2 - Prob. 8CVCCh. P.2 - Prob. 9CVCCh. P.2 - Prob. 10CVCCh. P.2 - Prob. 1ECh. P.2 - Prob. 2ECh. P.2 - Prob. 3ECh. P.2 - Prob. 4ECh. P.2 - Prob. 5ECh. P.2 - Prob. 6ECh. P.2 - Prob. 7ECh. P.2 - Evaluate each exponential expression in Exercises...Ch. P.2 - Prob. 9ECh. P.2 - Prob. 10ECh. P.2 - Prob. 11ECh. P.2 - Prob. 12ECh. P.2 - Prob. 13ECh. P.2 - Prob. 14ECh. P.2 - Prob. 15ECh. P.2 - Prob. 16ECh. P.2 - Prob. 17ECh. P.2 - Prob. 18ECh. P.2 - Prob. 19ECh. P.2 - Prob. 20ECh. P.2 - Prob. 21ECh. P.2 - Prob. 22ECh. P.2 - Prob. 23ECh. P.2 - Prob. 24ECh. P.2 - Prob. 25ECh. P.2 - Prob. 26ECh. P.2 - Prob. 27ECh. P.2 - Prob. 28ECh. P.2 - Prob. 29ECh. P.2 - Prob. 30ECh. P.2 - Prob. 31ECh. P.2 - Prob. 32ECh. P.2 - Simplify each exponential expression in Exercises...Ch. P.2 - Prob. 34ECh. P.2 - Prob. 35ECh. P.2 - Prob. 36ECh. P.2 - Prob. 37ECh. P.2 - Simplify each exponential expression in Exercises...Ch. P.2 - Prob. 39ECh. P.2 - Prob. 40ECh. P.2 - Simplify each exponential expression in Exercises...Ch. P.2 - Prob. 42ECh. P.2 - Prob. 43ECh. P.2 - Prob. 44ECh. P.2 - Prob. 45ECh. P.2 - Prob. 46ECh. P.2 - Prob. 47ECh. P.2 - Prob. 48ECh. P.2 - Prob. 49ECh. P.2 - Prob. 50ECh. P.2 - Prob. 51ECh. P.2 - Prob. 52ECh. P.2 - Simplify each exponential expression in Exercises...Ch. P.2 - Prob. 54ECh. P.2 - Prob. 55ECh. P.2 - Prob. 56ECh. P.2 - Prob. 57ECh. P.2 - Prob. 58ECh. P.2 - Prob. 59ECh. P.2 - Prob. 60ECh. P.2 - Prob. 61ECh. P.2 - Prob. 62ECh. P.2 - Prob. 63ECh. P.2 - Prob. 64ECh. P.2 - Prob. 65ECh. P.2 - Prob. 66ECh. P.2 - Prob. 67ECh. P.2 - Prob. 68ECh. P.2 - Prob. 69ECh. P.2 - Prob. 70ECh. P.2 - Prob. 71ECh. P.2 - In Exercises 6576, write each number in decimal...Ch. P.2 - Prob. 73ECh. P.2 - Prob. 74ECh. P.2 - Prob. 75ECh. P.2 - Prob. 76ECh. P.2 - In Exercises 7786, write each number in scientific...Ch. P.2 - Prob. 78ECh. P.2 - In Exercises 7786, write each number in scientific...Ch. P.2 - In Exercises 7786, write each number in scientific...Ch. P.2 - In Exercises 7786, write each number in scientific...Ch. P.2 - Prob. 82ECh. P.2 - Prob. 83ECh. P.2 - Prob. 84ECh. P.2 - Prob. 85ECh. P.2 - Prob. 86ECh. P.2 - Prob. 87ECh. P.2 - Prob. 88ECh. P.2 - Prob. 89ECh. P.2 - Prob. 90ECh. P.2 - Prob. 91ECh. P.2 - Prob. 92ECh. P.2 - Prob. 93ECh. P.2 - In Exercises 87106, perform the indicated...Ch. P.2 - Prob. 95ECh. P.2 - Prob. 96ECh. P.2 - Prob. 97ECh. P.2 - Prob. 98ECh. P.2 - Prob. 99ECh. P.2 - Prob. 100ECh. P.2 - Prob. 101ECh. P.2 - Prob. 102ECh. P.2 - In Exercises 87106, perform the indicated...Ch. P.2 - In Exercises 87106, perform the indicated...Ch. P.2 - Prob. 105ECh. P.2 - Prob. 106ECh. P.2 - Prob. 107ECh. P.2 - Prob. 108ECh. P.2 - Prob. 109ECh. P.2 - Prob. 110ECh. P.2 - In Exercises 107114, simplify each exponential...Ch. P.2 - Prob. 112ECh. P.2 - Prob. 113ECh. P.2 - Prob. 114ECh. P.2 - Prob. 115ECh. P.2 - Prob. 116ECh. P.2 - We have seen that the 2016 U.S. national debt was...Ch. P.2 - Prob. 118ECh. P.2 - Prob. 119ECh. P.2 - Prob. 120ECh. P.2 - Prob. 121ECh. P.2 - Explain the product rule for exponents. Use 2325...Ch. P.2 - Prob. 123ECh. P.2 - Prob. 124ECh. P.2 - Prob. 125ECh. P.2 - Prob. 126ECh. P.2 - Prob. 127ECh. P.2 - Prob. 128ECh. P.2 - Prob. 129ECh. P.2 - Prob. 130ECh. P.2 - Prob. 131ECh. P.2 - Prob. 132ECh. P.2 - Prob. 133ECh. P.2 - Prob. 134ECh. P.2 - Prob. 135ECh. P.2 - Prob. 136ECh. P.2 - Prob. 137ECh. P.2 - Prob. 138ECh. P.2 - Prob. 139ECh. P.2 - Prob. 140ECh. P.2 - The mad Dr. Frankenstein has gathered enough bits...Ch. P.2 - If bA = MN, bC = M, and bD = N, what is the...Ch. P.2 - Prob. 143ECh. P.2 - Prob. 145ECh. P.2 - Exercises 145147 will help you prepare for the...Ch. P.2 - Prob. 147ECh. P.3 - Evaluate: a. 81 b. 9 c. 125 d. 36+64 e. 36+64Ch. P.3 - Prob. 2CPCh. P.3 - Prob. 3CPCh. P.3 - Prob. 4CPCh. P.3 - Prob. 5CPCh. P.3 - Prob. 6CPCh. P.3 - Rationalize the denominator:84+5Ch. P.3 - Prob. 8CPCh. P.3 - Subtract: 3813433.Ch. P.3 - Prob. 10CPCh. P.3 - Prob. 11CPCh. P.3 - Prob. 12CPCh. P.3 - Prob. 13CPCh. P.3 - Fill in each blank so that the resulting statement...Ch. P.3 - Prob. 2CVCCh. P.3 - Prob. 3CVCCh. P.3 - Prob. 4CVCCh. P.3 - Prob. 5CVCCh. P.3 - Fill in each blank so that the resulting statement...Ch. P.3 - Prob. 7CVCCh. P.3 - Prob. 8CVCCh. P.3 - Fill in each blank so that the resulting statement...Ch. P.3 - Prob. 10CVCCh. P.3 - Prob. 11CVCCh. P.3 - Prob. 12CVCCh. P.3 - Prob. 13CVCCh. P.3 - Prob. 14CVCCh. P.3 - Prob. 1ECh. P.3 - Prob. 2ECh. P.3 - Prob. 3ECh. P.3 - Prob. 4ECh. P.3 - Prob. 5ECh. P.3 - Prob. 6ECh. P.3 - Prob. 7ECh. P.3 - Prob. 8ECh. P.3 - Evaluate each expression in Exercises 112, or...Ch. P.3 - Prob. 10ECh. P.3 - Prob. 11ECh. P.3 - Prob. 12ECh. P.3 - Prob. 13ECh. P.3 - Prob. 14ECh. P.3 - Prob. 15ECh. P.3 - Prob. 16ECh. P.3 - Use the product rule to simplify the expressions...Ch. P.3 - Use the product rule to simplify the expressions...Ch. P.3 - Use the product rule to simplify the expressions...Ch. P.3 - Prob. 20ECh. P.3 - Prob. 21ECh. P.3 - Prob. 22ECh. P.3 - Prob. 23ECh. P.3 - Prob. 24ECh. P.3 - Prob. 25ECh. P.3 - Prob. 26ECh. P.3 - Prob. 27ECh. P.3 - Prob. 28ECh. P.3 - Use the quotient rule to simplify the expressions...Ch. P.3 - Prob. 30ECh. P.3 - Prob. 31ECh. P.3 - Prob. 32ECh. P.3 - Prob. 33ECh. P.3 - Prob. 34ECh. P.3 - Prob. 35ECh. P.3 - Prob. 36ECh. P.3 - In Exercises 3344, add or subtract terms whenever...Ch. P.3 - In Exercises 3344, add or subtract terms whenever...Ch. P.3 - Prob. 39ECh. P.3 - Prob. 40ECh. P.3 - In Exercises 3344, add or subtract terms whenever...Ch. P.3 - Prob. 42ECh. P.3 - Prob. 43ECh. P.3 - In Exercises 3344, add or subtract terms whenever...Ch. P.3 - Prob. 45ECh. P.3 - Prob. 46ECh. P.3 - Prob. 47ECh. P.3 - Prob. 48ECh. P.3 - Prob. 49ECh. P.3 - Prob. 50ECh. P.3 - Prob. 51ECh. P.3 - Prob. 52ECh. P.3 - Prob. 53ECh. P.3 - Prob. 54ECh. P.3 - Prob. 55ECh. P.3 - Prob. 56ECh. P.3 - Prob. 57ECh. P.3 - Prob. 58ECh. P.3 - Evaluate each expression in Exercises 5566, or...Ch. P.3 - Prob. 60ECh. P.3 - Evaluate each expression in Exercises 5566, or...Ch. P.3 - Prob. 62ECh. P.3 - Prob. 63ECh. P.3 - Prob. 64ECh. P.3 - Prob. 65ECh. P.3 - Prob. 66ECh. P.3 - Prob. 67ECh. P.3 - Prob. 68ECh. P.3 - Prob. 69ECh. P.3 - Prob. 70ECh. P.3 - Prob. 71ECh. P.3 - Prob. 72ECh. P.3 - Simplify the radical expressions in Exercises 6774...Ch. P.3 - Prob. 74ECh. P.3 - Prob. 75ECh. P.3 - Prob. 76ECh. P.3 - Prob. 77ECh. P.3 - Prob. 78ECh. P.3 - Prob. 79ECh. P.3 - Prob. 80ECh. P.3 - Prob. 81ECh. P.3 - Prob. 82ECh. P.3 - Prob. 83ECh. P.3 - In Exercises 8390, evaluate each expression...Ch. P.3 - Prob. 85ECh. P.3 - Prob. 86ECh. P.3 - Prob. 87ECh. P.3 - Prob. 88ECh. P.3 - Prob. 89ECh. P.3 - Prob. 90ECh. P.3 - In Exercises 91100, simplify using properties of...Ch. P.3 - Prob. 92ECh. P.3 - Prob. 93ECh. P.3 - In Exercises 91100, simplify using properties of...Ch. P.3 - Prob. 95ECh. P.3 - Prob. 96ECh. P.3 - Prob. 97ECh. P.3 - Prob. 98ECh. P.3 - Prob. 99ECh. P.3 - Prob. 100ECh. P.3 - Prob. 101ECh. P.3 - Prob. 102ECh. P.3 - In Exercises 101108, simplify by reducing the...Ch. P.3 - Prob. 104ECh. P.3 - Prob. 105ECh. P.3 - Prob. 106ECh. P.3 - Prob. 107ECh. P.3 - Prob. 108ECh. P.3 - Prob. 109ECh. P.3 - Prob. 110ECh. P.3 - Prob. 111ECh. P.3 - Prob. 112ECh. P.3 - Prob. 113ECh. P.3 - Prob. 114ECh. P.3 - Prob. 115ECh. P.3 - America is getting older. The graph shows the...Ch. P.3 - The early Greeks believed that the most pleasing...Ch. P.3 - Prob. 118ECh. P.3 - Prob. 119ECh. P.3 - Prob. 120ECh. P.3 - Prob. 121ECh. P.3 - Prob. 122ECh. P.3 - Prob. 123ECh. P.3 - Prob. 124ECh. P.3 - Prob. 125ECh. P.3 - Prob. 126ECh. P.3 - Prob. 127ECh. P.3 - Prob. 129ECh. P.3 - Prob. 130ECh. P.3 - Prob. 131ECh. P.3 - Critical Thinking Exercises Make Sense? In...Ch. P.3 - Prob. 133ECh. P.3 - Prob. 134ECh. P.3 - Prob. 135ECh. P.3 - Prob. 136ECh. P.3 - Prob. 137ECh. P.3 - Prob. 138ECh. P.3 - Prob. 139ECh. P.3 - Prob. 140ECh. P.3 - Prob. 141ECh. P.3 - Prob. 142ECh. P.3 - Exercises 142144 will help you prepare for the...Ch. P.3 - Exercises 142144 will help you prepare for the...Ch. P.4 - Perform the indicated operations and simplify: a....Ch. P.4 - Prob. 2CPCh. P.4 - Multiply: (7x 5)(4x 3).Ch. P.4 - Prob. 4CPCh. P.4 - Prob. 5CPCh. P.4 - Prob. 6CPCh. P.4 - Subtract: (x3 4x2y + 5xy2 y3) (x3 6x2y + y3).Ch. P.4 - Prob. 8CPCh. P.4 - Prob. 1CVCCh. P.4 - Fill in each blank so that the resulting statement...Ch. P.4 - Prob. 3CVCCh. P.4 - Prob. 4CVCCh. P.4 - Fill in each blank so that the resulting statement...Ch. P.4 - Prob. 6CVCCh. P.4 - Prob. 7CVCCh. P.4 - Prob. 8CVCCh. P.4 - Prob. 9CVCCh. P.4 - Prob. 10CVCCh. P.4 - Prob. 11CVCCh. P.4 - Prob. 12CVCCh. P.4 - Prob. 13CVCCh. P.4 - Prob. 14CVCCh. P.4 - Prob. 1ECh. P.4 - Prob. 2ECh. P.4 - Prob. 3ECh. P.4 - Prob. 4ECh. P.4 - Prob. 5ECh. P.4 - Prob. 6ECh. P.4 - Prob. 7ECh. P.4 - Prob. 8ECh. P.4 - EXERCISE SET P.4 In Exercises 914, perform the...Ch. P.4 - Prob. 10ECh. P.4 - Prob. 11ECh. P.4 - Prob. 12ECh. P.4 - Prob. 13ECh. P.4 - Prob. 14ECh. P.4 - EXERCISE SET P.4 In Exercises 1558, find each...Ch. P.4 - Prob. 16ECh. P.4 - EXERCISE SET P.4 In Exercises 1558, find each...Ch. P.4 - Prob. 18ECh. P.4 - Prob. 19ECh. P.4 - Prob. 20ECh. P.4 - Prob. 21ECh. P.4 - Prob. 22ECh. P.4 - EXERCISE SET P.4 In Exercises 1558, find each...Ch. P.4 - EXERCISE SET P.4 In Exercises 1558, find each...Ch. P.4 - Prob. 25ECh. P.4 - Prob. 26ECh. P.4 - Prob. 27ECh. P.4 - Prob. 28ECh. P.4 - Prob. 29ECh. P.4 - Prob. 30ECh. P.4 - Prob. 31ECh. P.4 - Prob. 32ECh. P.4 - Prob. 33ECh. P.4 - Prob. 34ECh. P.4 - EXERCISE SET P.4 In Exercises 1558, find each...Ch. P.4 - Prob. 36ECh. P.4 - Prob. 37ECh. P.4 - Prob. 38ECh. P.4 - Prob. 39ECh. P.4 - Prob. 40ECh. P.4 - Prob. 41ECh. P.4 - Prob. 42ECh. P.4 - Prob. 43ECh. P.4 - Prob. 44ECh. P.4 - Prob. 45ECh. P.4 - Prob. 46ECh. P.4 - Prob. 47ECh. P.4 - Prob. 48ECh. P.4 - Prob. 49ECh. P.4 - Prob. 50ECh. P.4 - Prob. 51ECh. P.4 - EXERCISE SET P.4 In Exercises 1558, find each...Ch. P.4 - EXERCISE SET P.4 In Exercises 1558, find each...Ch. P.4 - Prob. 54ECh. P.4 - Prob. 55ECh. P.4 - Prob. 56ECh. P.4 - Prob. 57ECh. P.4 - Prob. 58ECh. P.4 - Prob. 59ECh. P.4 - Prob. 60ECh. P.4 - Prob. 61ECh. P.4 - EXERCISE SET P.4 In Exercises 5966, perform the...Ch. P.4 - Prob. 63ECh. P.4 - Prob. 64ECh. P.4 - Prob. 65ECh. P.4 - Prob. 66ECh. P.4 - Prob. 67ECh. P.4 - Prob. 68ECh. P.4 - Prob. 69ECh. P.4 - Prob. 70ECh. P.4 - Prob. 71ECh. P.4 - EXERCISE SET P.4 In Exercises 6782, find each...Ch. P.4 - EXERCISE SET P.4 In Exercises 6782, find each...Ch. P.4 - Prob. 74ECh. P.4 - Prob. 75ECh. P.4 - Prob. 76ECh. P.4 - Prob. 77ECh. P.4 - Prob. 78ECh. P.4 - Prob. 79ECh. P.4 - Prob. 80ECh. P.4 - Prob. 81ECh. P.4 - Prob. 82ECh. P.4 - Prob. 83ECh. P.4 - Prob. 84ECh. P.4 - Prob. 85ECh. P.4 - Prob. 86ECh. P.4 - Prob. 87ECh. P.4 - Prob. 88ECh. P.4 - Prob. 89ECh. P.4 - Prob. 90ECh. P.4 - The bar graph shows the differences among age...Ch. P.4 - Prob. 92ECh. P.4 - Prob. 93ECh. P.4 - Prob. 94ECh. P.4 - Prob. 95ECh. P.4 - Prob. 96ECh. P.4 - Prob. 97ECh. P.4 - Prob. 98ECh. P.4 - Prob. 99ECh. P.4 - Prob. 100ECh. P.4 - Prob. 101ECh. P.4 - Prob. 102ECh. P.4 - Prob. 103ECh. P.4 - Prob. 104ECh. P.4 - Make Sense? In Exercises 103106, determine whether...Ch. P.4 - Prob. 106ECh. P.4 - Prob. 107ECh. P.4 - In Exercises 107110, determine whether each...Ch. P.4 - Prob. 109ECh. P.4 - Prob. 110ECh. P.4 - Prob. 111ECh. P.4 - Prob. 112ECh. P.4 - Prob. 113ECh. P.4 - Express the area of the plane figure shown as a...Ch. P.4 - Prob. 115ECh. P.4 - Exercises 115117 will help you prepare for the...Ch. P.4 - Prob. 117ECh. P.5 - Factor: a.10x34x2 b.2x(x7)+3(x7).Ch. P.5 - Prob. 2CPCh. P.5 - Prob. 3CPCh. P.5 - Prob. 4CPCh. P.5 - Prob. 5CPCh. P.5 - Prob. 6CPCh. P.5 - Prob. 7CPCh. P.5 - Prob. 8CPCh. P.5 - Prob. 9CPCh. P.5 - Prob. 10CPCh. P.5 - Prob. 11CPCh. P.5 - Prob. 12CPCh. P.5 - Prob. 13CPCh. P.5 - Prob. 1CVCCh. P.5 - Fill in each blank by writing the letter of the...Ch. P.5 - Prob. 3CVCCh. P.5 - Prob. 4CVCCh. P.5 - Prob. 5CVCCh. P.5 - Prob. 6CVCCh. P.5 - Prob. 7CVCCh. P.5 - Prob. 8CVCCh. P.5 - Prob. 1ECh. P.5 - Prob. 2ECh. P.5 - Prob. 3ECh. P.5 - Prob. 4ECh. P.5 - Prob. 5ECh. P.5 - Prob. 6ECh. P.5 - Prob. 7ECh. P.5 - Prob. 8ECh. P.5 - Prob. 9ECh. P.5 - Prob. 10ECh. P.5 - Prob. 11ECh. P.5 - Prob. 12ECh. P.5 - Prob. 13ECh. P.5 - Prob. 14ECh. P.5 - Prob. 15ECh. P.5 - Prob. 16ECh. P.5 - Prob. 17ECh. P.5 - Prob. 18ECh. P.5 - Prob. 19ECh. P.5 - Prob. 20ECh. P.5 - Prob. 21ECh. P.5 - Prob. 22ECh. P.5 - Prob. 23ECh. P.5 - Prob. 24ECh. P.5 - Prob. 25ECh. P.5 - Prob. 26ECh. P.5 - Prob. 27ECh. P.5 - Prob. 28ECh. P.5 - Prob. 29ECh. P.5 - Prob. 30ECh. P.5 - Prob. 31ECh. P.5 - Prob. 32ECh. P.5 - Prob. 33ECh. P.5 - Prob. 34ECh. P.5 - Prob. 35ECh. P.5 - Prob. 36ECh. P.5 - In Exercises 1738, factor each trinomial, or state...Ch. P.5 - Prob. 38ECh. P.5 - Prob. 39ECh. P.5 - Prob. 40ECh. P.5 - Prob. 41ECh. P.5 - Prob. 42ECh. P.5 - Prob. 43ECh. P.5 - Prob. 44ECh. P.5 - Prob. 45ECh. P.5 - Prob. 46ECh. P.5 - Prob. 47ECh. P.5 - Prob. 48ECh. P.5 - Prob. 49ECh. P.5 - Prob. 50ECh. P.5 - Prob. 51ECh. P.5 - Prob. 52ECh. P.5 - Prob. 53ECh. P.5 - Prob. 54ECh. P.5 - Prob. 55ECh. P.5 - Prob. 56ECh. P.5 - Prob. 57ECh. P.5 - Prob. 58ECh. P.5 - Prob. 59ECh. P.5 - Prob. 60ECh. P.5 - Prob. 61ECh. P.5 - Prob. 62ECh. P.5 - Prob. 63ECh. P.5 - Prob. 64ECh. P.5 - Prob. 65ECh. P.5 - Prob. 66ECh. P.5 - Prob. 67ECh. P.5 - Prob. 68ECh. P.5 - Prob. 69ECh. P.5 - Prob. 70ECh. P.5 - Prob. 71ECh. P.5 - Prob. 72ECh. P.5 - Prob. 73ECh. P.5 - Prob. 74ECh. P.5 - Prob. 75ECh. P.5 - Prob. 76ECh. P.5 - Prob. 77ECh. P.5 - Prob. 78ECh. P.5 - Prob. 79ECh. P.5 - Prob. 80ECh. P.5 - Prob. 81ECh. P.5 - In Exercises 6592, factor completely, or state...Ch. P.5 - Prob. 83ECh. P.5 - Prob. 84ECh. P.5 - Prob. 85ECh. P.5 - Prob. 86ECh. P.5 - Prob. 87ECh. P.5 - Prob. 88ECh. P.5 - Prob. 89ECh. P.5 - Prob. 90ECh. P.5 - Prob. 91ECh. P.5 - Prob. 92ECh. P.5 - Prob. 93ECh. P.5 - Prob. 94ECh. P.5 - Prob. 95ECh. P.5 - Prob. 96ECh. P.5 - In Exercises 93102, factor and simplify each...Ch. P.5 - Prob. 98ECh. P.5 - Prob. 99ECh. P.5 - Prob. 100ECh. P.5 - Prob. 101ECh. P.5 - Prob. 102ECh. P.5 - Prob. 103ECh. P.5 - In Exercises 103-114, factor completely. 104....Ch. P.5 - Prob. 105ECh. P.5 - Prob. 106ECh. P.5 - Prob. 107ECh. P.5 - Prob. 108ECh. P.5 - Prob. 109ECh. P.5 - Prob. 110ECh. P.5 - Prob. 111ECh. P.5 - Prob. 112ECh. P.5 - Prob. 113ECh. P.5 - In Exercises 103114, factor completely....Ch. P.5 - Prob. 115ECh. P.5 - Prob. 116ECh. P.5 - Prob. 117ECh. P.5 - In Exercises 117120, a. Write an expression for...Ch. P.5 - Prob. 119ECh. P.5 - Prob. 120ECh. P.5 - Prob. 121ECh. P.5 - Prob. 122ECh. P.5 - Prob. 123ECh. P.5 - Prob. 124ECh. P.5 - Explain how to factor 3x2 + 10x + 8.Ch. P.5 - Prob. 126ECh. P.5 - Prob. 127ECh. P.5 - Prob. 128ECh. P.5 - Prob. 129ECh. P.5 - Make Sense? In Exercises 130133, determine whether...Ch. P.5 - Prob. 131ECh. P.5 - Prob. 132ECh. P.5 - Prob. 133ECh. P.5 - Prob. 134ECh. P.5 - Prob. 135ECh. P.5 - Prob. 136ECh. P.5 - Prob. 137ECh. P.5 - Prob. 138ECh. P.5 - Prob. 139ECh. P.5 - In Exercises 138141, factor completely. 140. x4 ...Ch. P.5 - Prob. 141ECh. P.5 - Prob. 142ECh. P.5 - In Exercises 142143, find all integers b so that...Ch. P.5 - Prob. 144ECh. P.5 - In Exercises 145146, perform the indicated...Ch. P.6 - Find all the numbers that must be excluded from...Ch. P.6 - Simplify: a. x3+3x2x+3 b. x21x2+2x+1.Ch. P.6 - Prob. 3CPCh. P.6 - Divide: x22x+1x3+xx2+x23x2+3.Ch. P.6 - Prob. 5CPCh. P.6 - Prob. 6CPCh. P.6 - Find the least common denominator of...Ch. P.6 - Prob. 8CPCh. P.6 - Subtract: xx210x+25x42x10.Ch. P.6 - Prob. 10CPCh. P.6 - Prob. 11CPCh. P.6 - Prob. 1CVCCh. P.6 - Prob. 2CVCCh. P.6 - Prob. 3CVCCh. P.6 - Prob. 4CVCCh. P.6 - Prob. 5CVCCh. P.6 - Prob. 6CVCCh. P.6 - Prob. 7CVCCh. P.6 - Prob. 8CVCCh. P.6 - Prob. 9CVCCh. P.6 - Prob. 10CVCCh. P.6 - In Exercises 16, find all numbers that must be...Ch. P.6 - Prob. 2ECh. P.6 - Prob. 3ECh. P.6 - Prob. 4ECh. P.6 - Prob. 5ECh. P.6 - In Exercises 16, find all numbers that must be...Ch. P.6 - Prob. 7ECh. P.6 - Prob. 8ECh. P.6 - In Exercises 714, simplify each rational...Ch. P.6 - Prob. 10ECh. P.6 - Prob. 11ECh. P.6 - Prob. 12ECh. P.6 - In Exercises 714, simplify each rational...Ch. P.6 - Prob. 14ECh. P.6 - Prob. 15ECh. P.6 - Prob. 16ECh. P.6 - Prob. 17ECh. P.6 - Prob. 18ECh. P.6 - Prob. 19ECh. P.6 - Prob. 20ECh. P.6 - Prob. 21ECh. P.6 - Prob. 22ECh. P.6 - Prob. 23ECh. P.6 - Prob. 24ECh. P.6 - In Exercises 1532, multiply or divide as...Ch. P.6 - Prob. 26ECh. P.6 - In Exercises 1532, multiply or divide as...Ch. P.6 - Prob. 28ECh. P.6 - Prob. 29ECh. P.6 - Prob. 30ECh. P.6 - Prob. 31ECh. P.6 - Prob. 32ECh. P.6 - Prob. 33ECh. P.6 - Prob. 34ECh. P.6 - Prob. 35ECh. P.6 - In Exercises 3358, add or subtract as indicated....Ch. P.6 - Prob. 37ECh. P.6 - Prob. 38ECh. P.6 - Prob. 39ECh. P.6 - Prob. 40ECh. P.6 - Prob. 41ECh. P.6 - Prob. 42ECh. P.6 - Prob. 43ECh. P.6 - Prob. 44ECh. P.6 - Prob. 45ECh. P.6 - Prob. 46ECh. P.6 - Prob. 47ECh. P.6 - Prob. 48ECh. P.6 - In Exercises 3358, add or subtract as indicated....Ch. P.6 - Prob. 50ECh. P.6 - Prob. 51ECh. P.6 - Prob. 52ECh. P.6 - Prob. 53ECh. P.6 - Prob. 54ECh. P.6 - Prob. 55ECh. P.6 - Prob. 56ECh. P.6 - Prob. 57ECh. P.6 - Prob. 58ECh. P.6 - Prob. 59ECh. P.6 - Prob. 60ECh. P.6 - Prob. 61ECh. P.6 - Prob. 62ECh. P.6 - Prob. 63ECh. P.6 - Prob. 64ECh. P.6 - Prob. 65ECh. P.6 - Prob. 66ECh. P.6 - Prob. 67ECh. P.6 - Prob. 68ECh. P.6 - Prob. 69ECh. P.6 - In Exercises 5972, simplify each complex rational...Ch. P.6 - Prob. 71ECh. P.6 - Prob. 72ECh. P.6 - Prob. 73ECh. P.6 - Prob. 74ECh. P.6 - Prob. 75ECh. P.6 - Prob. 76ECh. P.6 - Prob. 77ECh. P.6 - Prob. 78ECh. P.6 - Prob. 79ECh. P.6 - Prob. 80ECh. P.6 - The rational expression 130x100x describes the...Ch. P.6 - Prob. 82ECh. P.6 - Prob. 83ECh. P.6 - Prob. 84ECh. P.6 - Prob. 85ECh. P.6 - What is a rational expression?Ch. P.6 - Prob. 87ECh. P.6 - Prob. 88ECh. P.6 - Prob. 89ECh. P.6 - Prob. 90ECh. P.6 - Prob. 91ECh. P.6 - Prob. 92ECh. P.6 - Prob. 93ECh. P.6 - Prob. 94ECh. P.6 - Explain the error in Exercises 9597. Then rewrite...Ch. P.6 - Explain the error in Exercises 9597. Then rewrite...Ch. P.6 - Explain the error in Exercises 9597. Then rewrite...Ch. P.6 - Prob. 98ECh. P.6 - Make Sense? In Exercises 98101, determine whether...Ch. P.6 - Prob. 100ECh. P.6 - Prob. 101ECh. P.6 - Prob. 102ECh. P.6 - Prob. 103ECh. P.6 - In Exercises 102105, determine whether each...Ch. P.6 - In Exercises 102105, determine whether each...Ch. P.6 - Prob. 106ECh. P.6 - Prob. 107ECh. P.6 - Prob. 108ECh. P.6 - Prob. 109ECh. P.6 - Prob. 110ECh. P.6 - Prob. 111ECh. P.6 - If y=|x+1|, find the value of y that corresponds...Ch. P - In Exercises 125, simplify the given expression or...Ch. P - In Exercises 125, simplify the given expression or...Ch. P - In Exercises 125, simplify the given expression or...Ch. P - Prob. 4MCCh. P - Prob. 5MCCh. P - Prob. 6MCCh. P - Prob. 7MCCh. P - Prob. 8MCCh. P - Prob. 9MCCh. P - Prob. 10MCCh. P - In Exercises 125, simplify the given expression or...Ch. P - Prob. 12MCCh. P - Prob. 13MCCh. P - Prob. 14MCCh. P - Prob. 15MCCh. P - Prob. 16MCCh. P - Prob. 17MCCh. P - Prob. 18MCCh. P - Prob. 19MCCh. P - Prob. 20MCCh. P - Prob. 21MCCh. P - Prob. 22MCCh. P - Prob. 23MCCh. P - Prob. 24MCCh. P - Prob. 25MCCh. P - Prob. 26MCCh. P - Prob. 27MCCh. P - Prob. 28MCCh. P - Prob. 29MCCh. P - Prob. 30MCCh. P - College students are graduating with the highest...Ch. P - In Exercises 12, evaluate each algebraic...Ch. P - Prob. 2RECh. P - Prob. 3RECh. P - Prob. 4RECh. P - Prob. 5RECh. P - Prob. 6RECh. P - Prob. 7RECh. P - Prob. 8RECh. P - In Exercises 911, rewrite each expression without...Ch. P - Prob. 10RECh. P - Prob. 11RECh. P - Prob. 12RECh. P - Prob. 13RECh. P - Prob. 14RECh. P - Prob. 15RECh. P - Prob. 16RECh. P - Prob. 17RECh. P - Prob. 18RECh. P - Prob. 19RECh. P - Prob. 20RECh. P - Prob. 21RECh. P - Prob. 22RECh. P - Prob. 23RECh. P - Prob. 24RECh. P - Prob. 25RECh. P - Prob. 26RECh. P - Prob. 27RECh. P - Prob. 28RECh. P - Prob. 29RECh. P - Prob. 30RECh. P - Prob. 31RECh. P - Prob. 32RECh. P - Prob. 33RECh. P - Prob. 34RECh. P - Prob. 35RECh. P - Prob. 36RECh. P - Prob. 37RECh. P - Prob. 38RECh. P - Prob. 39RECh. P - Prob. 40RECh. P - Prob. 41RECh. P - Prob. 42RECh. P - Prob. 43RECh. P - Prob. 44RECh. P - Prob. 45RECh. P - Prob. 46RECh. P - Prob. 47RECh. P - Prob. 48RECh. P - Prob. 49RECh. P - Prob. 50RECh. P - Prob. 51RECh. P - Prob. 52RECh. P - Prob. 53RECh. P - Prob. 54RECh. P - Prob. 55RECh. P - Prob. 56RECh. P - Prob. 57RECh. P - Prob. 58RECh. P - Prob. 59RECh. P - Prob. 60RECh. P - Prob. 61RECh. P - Prob. 62RECh. P - Prob. 63RECh. P - Prob. 64RECh. P - Prob. 65RECh. P - Prob. 66RECh. P - Prob. 67RECh. P - Prob. 68RECh. P - Prob. 69RECh. P - Prob. 70RECh. P - Prob. 71RECh. P - Prob. 72RECh. P - Prob. 73RECh. P - Prob. 74RECh. P - Prob. 75RECh. P - Prob. 76RECh. P - Prob. 77RECh. P - Prob. 78RECh. P - Prob. 79RECh. P - Prob. 80RECh. P - Prob. 81RECh. P - Prob. 82RECh. P - Prob. 83RECh. P - Prob. 84RECh. P - Prob. 85RECh. P - Prob. 86RECh. P - Prob. 87RECh. P - Prob. 88RECh. P - Prob. 89RECh. P - Prob. 90RECh. P - In Exercises 89105, factor completely, or state...Ch. P - Prob. 92RECh. P - Prob. 93RECh. P - In Exercises 89105, factor completely, or state...Ch. P - Prob. 95RECh. P - Prob. 96RECh. P - Prob. 97RECh. P - Prob. 98RECh. P - Prob. 99RECh. P - Prob. 100RECh. P - Prob. 101RECh. P - In Exercises 89105, factor completely, or state...Ch. P - Prob. 103RECh. P - Prob. 104RECh. P - Prob. 105RECh. P - Prob. 106RECh. P - Prob. 107RECh. P - Prob. 108RECh. P - Prob. 109RECh. P - Prob. 110RECh. P - Prob. 111RECh. P - Prob. 112RECh. P - Prob. 113RECh. P - Prob. 114RECh. P - Prob. 115RECh. P - Prob. 116RECh. P - Prob. 117RECh. P - Prob. 118RECh. P - Prob. 119RECh. P - Prob. 120RECh. P - Prob. 121RECh. P - In Exercises 118, simplify the given expression or...Ch. P - Prob. 2TCh. P - Prob. 3TCh. P - Prob. 4TCh. P - Prob. 5TCh. P - Prob. 6TCh. P - Prob. 7TCh. P - Prob. 8TCh. P - Prob. 9TCh. P - Prob. 10TCh. P - Prob. 11TCh. P - Prob. 12TCh. P - Prob. 13TCh. P - Prob. 14TCh. P - Prob. 15TCh. P - Prob. 16TCh. P - Prob. 17TCh. P - Prob. 18TCh. P - Prob. 19TCh. P - In Exercises 1924, factor completely, or state...Ch. P - Prob. 21TCh. P - Prob. 22TCh. P - Prob. 23TCh. P - Prob. 24TCh. P - Prob. 25TCh. P - Prob. 26TCh. P - Prob. 27TCh. P - Prob. 28TCh. P - Prob. 29TCh. P - Prob. 30TCh. P - Prob. 31TCh. P - Prob. 32T
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- In Exercises 132–137, factor each polynomial. Assume that all variable exponents represent whole numbers. 132. 9x2" + x" – 8 133. 4x2n – 9x" + 5 134. an+2 – a"+2 – 6a? 135. b2n+2 + 3b"+2 10b2 136. 3c"+2 10c"+1 + 3c" 137. 2d"+2 5d"+1 + 3d"arrow_forwardIn Exercises 130–133, use a graphing utility to graph the functions y, and y2. Select a viewing rectangle that is large enough to show the end behavior of y2. What can you conclude? Verify your conclusions using polynomial multiplication. 130. yı = (x - 2)² y2 = x2 – 4x + 4 131. yı = (x – 4)(x² y2 = x - 7x2 + 14x – 8 132. yı = (x – 1)(x + x + 1) y2 = x – 1 133. yı = (x + 1.5)(x – 1.5) y2 = x? – 2.25 3x + 2)arrow_forwardIn Exercises 34–37, solve each polynomial equation. 34. 3x? = 5x + 2 35. (5x + 4)(x – 1) = 2 36. 15x? – 5x = 0 37. x - 4x2 - x + 4 = 0arrow_forward
- In Exercises 65–74, factor by grouping to obtain the difference of two squares. 6x + 9 – y? 12x + 36 – y? 65. x? 66. x2 67. x + 20xr + 100 68. x? + 16x + 64 – x4 69. 9x2 70. 25x? – 20x + 4 – 81y? 30x + 25 – 36y? 71. x* - x? – 2x – 1 72. x4 -х2 — бх — 9 x? + 4xy – 4y2 x²+ 10xy - 25y2 73. z? 74. z? - rarrow_forwardDetermine whether each expression in Exercises 24–27 isa polynomial. If it is, state the degree of the polynomial.arrow_forwardThe average amount A (in pounds per person) of fish and shellfish consumed in the UnitedStates during the period 1992–2001 can be modeled by A = (3.2x + 260)/(52x + 3800) where x is the number of years since 1992.Rewrite the model so that it has only whole number coefficients. Then simplify the model.arrow_forward
- For Exercises 23–24, use the remainder theorem to determine if the given number c is a zero of the polynomial. 23. f(x) = 3x + 13x + 2x + 52x – 40 a. c = 2 b. c = 24. f(x) = x* + 6x + 9x? + 24x + 20 а. с 3D —5 b. c = 2iarrow_forwardIn Exercises 12–20, find all zeros of each polynomial function. Then graph the function. 12. f(x) = (x – 2)°(x + 1)³ 13. f(x) = -(x – 2)(x + 1)? 14. f(x) = x - xr? – 4x + 4 15. f(x) = x* - 5x² + 4 16. f(x) = -(x + 1)° 17. f(x) = -6x³ + 7x? - 1 18. f(x) = 2r³ – 2x 19. f(x) = x - 2x² + 26x 20. f(x) = -x + 5x² – 5x – 3 %3D %3D %3! %3D %3!arrow_forwardIn Exercises 115–116, express each polynomial in standard form-that is, in descending powers of x. a. Write a polynomial that represents the area of the large rectangle. b. Write a polynomial that represents the area of the small, unshaded rectangle. c. Write a polynomial that represents the area of the shaded blue region. 115. -x + 9- -x +5- x + 3 x + 15 -x + 4- x + 2 116. x + 3 x + 1arrow_forward
- Exercises 151–153 will help you prepare for the material covered in the next section. 151. Replace each boxed question mark with a polynomial that results in the given product. a. 3x . ? = 9x b. 2r'y² ? = 12r*y+ In Exercises 152–153, a polynomial is given in factored form. Use multiplication to find the product of the factors. 152. (x – 5)(x? + 3) 153. (x + 4)(3x – 2y)arrow_forwardIn Exercises 1-2, give the degree and the leading coefficient of the polynomial. 1. 7x – 5 + x² – 6x³ 2. 4xy3 + 7x4ys5 – 3xy4arrow_forwardFor questions 10 – 11, use the table to answer the questions. It is set up to multiply two polynomials. (show your work)arrow_forward
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