Calculus: An Applied Approach (MindTap Course List)
10th Edition
ISBN: 9781305860919
Author: Ron Larson
Publisher: Cengage Learning
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Chapter A4, Problem 67E
To determine
To calculate: The real zeros of polynomial
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In 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)
In 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
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Part A: Create a fourth degree polynomial with three terms in standard form. How do you know it is in standard form?
Part B : Explain the closure property as it relates to addition of polynomials. Give an example.
Chapter A4 Solutions
Calculus: An Applied Approach (MindTap Course List)
Ch. A4 - Prob. 1CPCh. A4 - Prob. 2CPCh. A4 - Prob. 3CPCh. A4 - Prob. 4CPCh. A4 - Prob. 1ECh. A4 - Prob. 2ECh. A4 - Prob. 3ECh. A4 - Prob. 4ECh. A4 - Prob. 5ECh. A4 - Prob. 6E
Ch. A4 - Prob. 7ECh. A4 - Prob. 8ECh. A4 - Prob. 9ECh. A4 - Prob. 10ECh. A4 - Prob. 11ECh. A4 - Prob. 12ECh. A4 - Prob. 13ECh. A4 - Prob. 14ECh. A4 - Prob. 15ECh. A4 - Prob. 16ECh. A4 - Factoring Polynomials In Exercises 9-18, write the...Ch. A4 - Prob. 18ECh. A4 - Prob. 19ECh. A4 - Prob. 20ECh. A4 - Prob. 21ECh. A4 - Prob. 22ECh. A4 - Prob. 23ECh. A4 - Prob. 24ECh. A4 - Prob. 25ECh. A4 - Prob. 26ECh. A4 - Prob. 27ECh. A4 - Prob. 28ECh. A4 - Prob. 29ECh. A4 - Prob. 30ECh. A4 - Prob. 31ECh. A4 - Prob. 32ECh. A4 - Prob. 33ECh. A4 - Prob. 34ECh. A4 - Prob. 35ECh. A4 - Prob. 36ECh. A4 - Prob. 37ECh. A4 - Prob. 38ECh. A4 - Prob. 39ECh. A4 - Prob. 40ECh. A4 - Prob. 41ECh. A4 - Prob. 42ECh. A4 - Prob. 43ECh. A4 - Prob. 44ECh. A4 - Prob. 45ECh. A4 - Prob. 46ECh. A4 - Prob. 47ECh. A4 - Prob. 48ECh. A4 - Prob. 49ECh. A4 - Prob. 50ECh. A4 - Prob. 51ECh. A4 - Prob. 52ECh. A4 - Prob. 53ECh. A4 - Prob. 54ECh. A4 - Prob. 55ECh. A4 - Prob. 56ECh. A4 - Prob. 57ECh. A4 - Prob. 58ECh. A4 - Prob. 59ECh. A4 - Prob. 60ECh. A4 - Prob. 61ECh. A4 - Prob. 62ECh. A4 - Prob. 63ECh. A4 - Prob. 64ECh. A4 - Prob. 65ECh. A4 - Prob. 66ECh. A4 - Prob. 67ECh. A4 - Prob. 68ECh. A4 - Prob. 69ECh. A4 - Prob. 70ECh. A4 - Prob. 71ECh. A4 - Prob. 72ECh. A4 - Prob. 73ECh. A4 - Prob. 74ECh. A4 - Prob. 75ECh. A4 - Prob. 76E
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- hu Sep 23 IMUsuraave Mathematics 2. For each polynomial function, rewrite the polynomial in standard form. Then state its degree and constant term. a. f(x) = (x+ 1)(x + 3)(x – 4) degre =3 3x Constont ="12 -3ら -4 4x-k - g(x) = 3(x+1)(x+3)(x – 4) 3. Tyler Incorrectly says that the constant term of (x+ 4)(x - 4) is zero. a. What is the correct constant term? b. What is Tyler's mistake? Explain your reasoning. 4. Which of these standard form equations is equivalent to (x + 1)(x – 2)(x+4)(3x + 7)? A. x* + 10x³ + 15x² – 50x – 56 B. x + 10x³ + 15x² – 50x + 56 C. 3x* + 16x³ +3x² – 66x – 56 D. 3x + 16x + 3x² – 66x + 56 5. Select all polynomial expressions that are equivalent to 5x + 7x – 4x² + 5.arrow_forwardExercises 15 0-18 0: The graph of a polynomial f(x) with leading coefficient ±1 and integer zeros is shown in the figure. Write its complete factored form. 100 y = f(x)/ 50 -6 4 6 -50 -100 15.arrow_forwardIn Exercises 2-6, fill in the blanks. The Theorem states that a polynomial f(x)has a factor (xk)if and only if f(k)=0.arrow_forward
- Write an equation of a polynomial as described below in standard form. 3) zeros are -3 and with a multiplicity of 2 3arrow_forwardPls help ASAP.arrow_forwardH In the box below, write a polynomial of lowest degree with the following properties: 1) Zero of 5 (multiplicity of 2) 2) Zero of -3 (multiplicity of 2) 3) Y-intercept of -450 Q Search hij HH Submitarrow_forward
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