33. r(x)= x* +7x³-41x +33x 34. d(x)= x³ – x* – 18x' +18x² +81x-81 35. P(x)= x² –6x² + 28x–40 36. g(x)= x° – x-16x² +16 %3D Construct polynomial functions with the stated properties. See Example 3. 37. Third-degree, only real coefficients, 42. Fifth-degree, -2 is -1 and 5+i are two of the zeros, a zero of multiplicity 2, another integer is a zero of multiplicity 3, y-intercept is 108, leading coefficient is 1. y-intercept is -52. 38. Fourth-degree, only real coefficients, 7 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 multiplicity 1,leading coefficient is 1. 45. Third-degree, only real coefficients, -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.

33. r(x)= x* +7x³-41x +33x 34. d(x)= x³ – x* – 18x' +18x² +81x-81 35. P(x)= x² –6x² + 28x–40 36. g(x)= x° – x-16x² +16 %3D Construct polynomial functions with the stated properties. See Example 3. 37. Third-degree, only real coefficients, 42. Fifth-degree, -2 is -1 and 5+i are two of the zeros, a zero of multiplicity 2, another integer is a zero of multiplicity 3, y-intercept is 108, leading coefficient is 1. y-intercept is -52. 38. Fourth-degree, only real coefficients, 7 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 multiplicity 1,leading coefficient is 1. 45. Third-degree, only real coefficients, -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: #37, #41, and #44 33. r(x)= x* +7x³-41x +33x34. d(x)= x³ – x* – 18x' +
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Description: #37, #41, and #44 33. r(x)= x* +7x³-41x +33x34. d(x)= x³ – x* – 18x' +18x² +81x-8135. P(x)= x² –6x² + 28x–4036. g(x)= x° – x-16x² +16%3DConstruct polynomial functions with the stated properties. See Example 3.37. Third-degree, only real coefficients,

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra

Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...

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