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Suppose that R(x) is a polynomial of degree 12 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -6, 3+5i, -2+3i, -2-3i 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 12 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -6, 3+5i, -2+3i, -2-3i 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 12 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -6, 3+5i, -2+3i, -2-3i 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
Transcribed Image Text:Suppose that R(x) is a polynomial of degree 12 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -6, 3+5i, -2+3i, -2-3i 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
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