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33. r(x)= x+7x'-41x +33x 34. d(x) x-x'-18x'+18x +81x-81 35. P(x)= x-6x'+28x-40 36. g(x)= x-x-16x' +16 Construct polynomial functions with the stated properties. See Example 3. 37. Third-degree, only real coefficients, 42. Fifth-degree, -2 is a zero of -1 and 5+i are two of the zeros, y-intercept is -52. multiplicity 2, another integer is a zero of multiplicity 3, y-intercept is 108, leading coefficient is 1. 38. Fourth-degree, only real coefficients, 7 and iv5 are two of the zeros, 43. Third-degree, only real coefficients, y-intercept is-35. -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 44. Fifth-degree, 1 is a zero of multiplicity coefficient is 2. 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

33. r(x)= x+7x'-41x +33x 34. d(x) x-x'-18x'+18x +81x-81 35. P(x)= x-6x'+28x-40 36. g(x)= x-x-16x' +16 Construct polynomial functions with the stated properties. See Example 3. 37. Third-degree, only real coefficients, 42. Fifth-degree, -2 is a zero of -1 and 5+i are two of the zeros, y-intercept is -52. multiplicity 2, another integer is a zero of multiplicity 3, y-intercept is 108, leading coefficient is 1. 38. Fourth-degree, only real coefficients, 7 and iv5 are two of the zeros, 43. Third-degree, only real coefficients, y-intercept is-35. -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 44. Fifth-degree, 1 is a zero of multiplicity coefficient is 2. 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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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33. r(x) = x+7x-41x+33x 34. d(x)= x-x -18x'+18x +81x-81 35. P(x)=x-6x +28x-40 36. g(x) = x-x-16x +16 Construct polynomial functions with the stated properties. See Example 3. 37. Third-degree, only real coefficients, -1 and 5+i are two of the zeros, 42. Fifth-degree, -2 is a multiplicity 2, another integer is a zero of multiplicity 3, y-intercept is 108, leading coefficient is 1. zero of y-intercept is -52. 38. Fourth-degree, only real coefficients, Jī and iv5 are two of the zeros, 43. Third-degree, only real coefficients, y-intercept is-35. -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 44. Fifth-degree, 1 is a zero of multiplicity coefficient is 2. 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.
Transcribed Image Text:33. r(x) = x+7x-41x+33x 34. d(x)= x-x -18x'+18x +81x-81 35. P(x)=x-6x +28x-40 36. g(x) = x-x-16x +16 Construct polynomial functions with the stated properties. See Example 3. 37. Third-degree, only real coefficients, -1 and 5+i are two of the zeros, 42. Fifth-degree, -2 is a multiplicity 2, another integer is a zero of multiplicity 3, y-intercept is 108, leading coefficient is 1. zero of y-intercept is -52. 38. Fourth-degree, only real coefficients, Jī and iv5 are two of the zeros, 43. Third-degree, only real coefficients, y-intercept is-35. -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 44. Fifth-degree, 1 is a zero of multiplicity coefficient is 2. 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.
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