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Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. 2i, -3+3i Answer the following. (a) Find another zero of R(x). 0 (b) What is the maximum number of real zeros that R (x) can have? 0 (c) What is the maximum number of nonreal zeros that R(x) can have? 0

Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. 2i, -3+3i Answer the following. (a) Find another zero of R(x). 0 (b) What is the maximum number of real zeros that R (x) can have? 0 (c) What is the maximum number of nonreal zeros that R(x) can have? 0

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.4: Real Zeros Of Polynomials
Problem 2E
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Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose that R(x) has the following zeros. 2i, −3+3i Answer the following. (a) Find another zero of R (x). (b) What is the maximum number of real zeros that R (x) can have? (c) What is the maximum number of nonreal zeros that R(x) can have? 10
Transcribed Image Text:Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose that R(x) has the following zeros. 2i, −3+3i Answer the following. (a) Find another zero of R (x). (b) What is the maximum number of real zeros that R (x) can have? (c) What is the maximum number of nonreal zeros that R(x) can have? 10
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