Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
14th Edition
ISBN: 9780134668574
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker
Publisher: PEARSON
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Chapter A.3, Problem 30E
To determine
To find: The factors of the polynomial
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In Exercises 126–129, determine whether each statement is true
or false. If the statement is false, make the necessary change(s) to
produce a true statement.
126. Once a GCF is factored from 6y – 19y + 10y“, the
remaining trinomial factor is prime.
127. One factor of 8y² – 51y + 18 is 8y – 3.
128. We can immediately tell that 6x? – 11xy – 10y? is prime
because 11 is a prime number and the polynomial contains
two variables.
129. A factor of 12x2 – 19xy + 5y² is 4x – y.
Exercises 143–145 will help you prepare for the material covered
in the next section. In each exercise, factor completely.
143. 2r + 8x? + 8x
144. 5x3 – 40x?y + 35xy2
145. 96?x + 9b²y – 16x – 16y
-
For Exercises 13–20, factor each expression.
Chapter A.3 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Ch. A.3 - Factor out all factors common to all terms....Ch. A.3 - Prob. 2MPCh. A.3 - Prob. 3MPCh. A.3 - Factor completely: (A)x2+6xy+9y2 (B)9x24y2 (C)8m31...Ch. A.3 - Factor completely. (A)18x38x (B)4m3n2m2n2+2mn3...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - Prob. 3ECh. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - Prob. 5E
Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 918, factor by grouping. 9.2x2x+4x2Ch. A.3 - In Problems 918, factor by grouping. 10.x23x+2x6Ch. A.3 - In Problems 918, factor by grouping. 11.3y23y+2y2Ch. A.3 - In Problems 918, factor by grouping. 12.2x2x+6x3Ch. A.3 - In Problems 918, factor by grouping. 13.2x2+8xx4Ch. A.3 - In Problems 918, factor by grouping. 14.6x2+9x2x3Ch. A.3 - In Problems 918, factor by grouping. 15.wywz+xyxzCh. A.3 - In Problems 918, factor by grouping....Ch. A.3 - In Problems 918, factor by grouping....Ch. A.3 - In Problems 918, factor by grouping. 18.ab+6+2a+3bCh. A.3 - Prob. 19ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 26ECh. A.3 - Prob. 27ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 29ECh. A.3 - Prob. 30ECh. A.3 - Prob. 31ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 36ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 39ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 45ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 47ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 50ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 53ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 57ECh. A.3 - In Problems 5760, discuss the validity of each...Ch. A.3 - In Problems 5760, discuss the validity of each...Ch. A.3 - In Problems 5760, discuss the validity of each...
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- In Exercises 30–33, factor the greatest common factor from each polynomial. 30. 16x3 + 24x² 31. 2x 36x2 32. 21x?y – 14xy² + 7xy 33. 18r'y? – 27x²yarrow_forwardFor questions 10 – 11, use the table to answer the questions. It is set up to multiply two polynomials. (show your work)arrow_forward1.2. Factorise the following completely: 5x(p – q) + 8y(q – p) – 3y(p – q) a. b. 5x2 - 12x + 4 C. a² + a(4 + b) + 4b d. x* - 81 e. 6x²y-10xy + 15x - 25 Question 2 olify thearrow_forward
- Questions 15: (A.SSE.A.2) * The expression 4x² – 25 is equivalent to - O (4x- 5)(x+5) (4x+5)(x - 5) (2x + 5)(2x - 5) (2x - 5)(2x - 5)arrow_forward3. Find L-¹{(+53)4}.arrow_forwardFor 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 + 11arrow_forward
- 3– 4. Perform the indicated operations and then simplify. Write your answers in factored form. 29 (x² – x – 2\ 1- x2 2x +8 + x- 4 x2 – 2x + 1 - 5x + 4. 2 4. - 1 x + 4x ++ 3 2 x2 + 2x - 3 x+ 3arrow_forwardIf (x + 3) is a factor of x3 – 13x – 12, what are the other factors. - -arrow_forwardFor 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)arrow_forward
- 2. 3n+1arrow_forwardExercises 141–143 will help you prepare for the material covered in the next section. In each exercise, factor the polynomial. (You'll soon be learning techniques that will shorten the factoring process.) 141. x? + 14x + 49 142. x? – 8x + 16 143. х2 — 25 (or x? + 0х — 25)arrow_forwardShow that we can easily factor n when we know that n is the product of two primes, p and q, and we know the value of (p − 1)(q − 1).arrow_forward
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