The Fundamental Theorem of Algebra Section 4.4 33. r(x)= x + 7x- 41x² +33x 34. d(x)= x' – x² –18x' +18x² + 81x – 81 35. P(x)= x'-6x² + 28x – 40 36. g(x)= x* – x –16x² +16 Construct polynomial functions with the stated properties. See Example 3. of 42. Fifth-degree, -2 is multiplicity 2, another integer is a zero of multiplicity 3, y-intercept is 108, leading coefficient is 1. zero 37. Third-degree, only real coefficients, -1 and 5+i are two of the zeros, y-intercept is -52. 38. Fourth-degree, only real coefficients, 17 and i5 are two of the zeros, y-intercept is –35. 43. Third-degree, only real coefficients, -4 and 3+i are two of the zeros, y-intercept is –40. 39. Fifth-degree, 1 is a zero of multiplicity 3, –2 is the only other zero, leading coefficient is 2. 44. Fifth-degree, 1 is a zero of multiplicity 4, -2 is the only other zero, leading coefficient is 4. 40. Fifth-degree, only real coefficients, 0 is the only real zero, 1+i is a zero of 45. Third-degree, only real coefficients. multiplicity 1, leading coefficient is 1. -4 and 4+i are two of the zeroS y-intercept is -68. 41. Fourth-degree, only real coefficients, x-intercepts are 0 and 6, -2i is a zero, leading coefficient is 3.

The Fundamental Theorem of Algebra Section 4.4 33. r(x)= x + 7x- 41x² +33x 34. d(x)= x' – x² –18x' +18x² + 81x – 81 35. P(x)= x'-6x² + 28x – 40 36. g(x)= x* – x –16x² +16 Construct polynomial functions with the stated properties. See Example 3. of 42. Fifth-degree, -2 is multiplicity 2, another integer is a zero of multiplicity 3, y-intercept is 108, leading coefficient is 1. zero 37. Third-degree, only real coefficients, -1 and 5+i are two of the zeros, y-intercept is -52. 38. Fourth-degree, only real coefficients, 17 and i5 are two of the zeros, y-intercept is –35. 43. Third-degree, only real coefficients, -4 and 3+i are two of the zeros, y-intercept is –40. 39. Fifth-degree, 1 is a zero of multiplicity 3, –2 is the only other zero, leading coefficient is 2. 44. Fifth-degree, 1 is a zero of multiplicity 4, -2 is the only other zero, leading coefficient is 4. 40. Fifth-degree, only real coefficients, 0 is the only real zero, 1+i is a zero of 45. Third-degree, only real coefficients. multiplicity 1, leading coefficient is 1. -4 and 4+i are two of the zeroS y-intercept is -68. 41. Fourth-degree, only real coefficients, x-intercepts are 0 and 6, -2i is a zero, leading coefficient is 3.

Name: #41 The Fundamental Theorem of Algebra Section 4.433. r(x)= x + 7x- 41
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Description: #41 The Fundamental Theorem of Algebra Section 4.433. r(x)= x + 7x- 41x² +33x34. d(x)= x' – x² –18x' +18x² + 81x – 8135. P(x)= x'-6x² + 28x – 4036. g(x)= x* – x –16x² +16Construct polynomial functions with the stated properties. See Example 3.of42. F

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 4E

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#41

The Fundamental Theorem of Algebra Section 4.4
33. r(x)= x + 7x- 41x² +33x
34. d(x)= x' – x² –18x' +18x² + 81x – 81
35. P(x)= x'-6x² + 28x – 40
36. g(x)= x* – x –16x² +16
Construct polynomial functions with the stated properties. See Example 3.
of
42. Fifth-degree, -2 is
multiplicity 2, another integer is a
zero of multiplicity 3, y-intercept is
108, leading coefficient is 1.
zero
37. Third-degree, only real coefficients,
-1 and 5+i are two of the zeros,
y-intercept is -52.
38. Fourth-degree, only real coefficients,
17 and i5 are two of the zeros,
y-intercept is –35.
43. Third-degree, only real coefficients,
-4 and 3+i are two of the zeros,
y-intercept is –40.
39. Fifth-degree, 1 is a zero of multiplicity
3, –2 is the only other zero, leading
coefficient is 2.
44. Fifth-degree, 1 is a zero of multiplicity
4, -2 is the only other zero, leading
coefficient is 4.
40. Fifth-degree, only real coefficients, 0
is the only real zero, 1+i is a zero of 45. Third-degree, only real coefficients.
multiplicity 1, leading coefficient is 1.
-4 and 4+i are two of the zeroS
y-intercept is -68.
41. Fourth-degree, only real coefficients,
x-intercepts are 0 and 6, -2i is a zero,
leading coefficient is 3.

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