Suppose that R(x) is a polynomial of degree 8 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -5, 8, 9, -5+5i 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?

Suppose that R(x) is a polynomial of degree 8 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -5, 8, 9, -5+5i 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?

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 46E: Finding a Polynomial with Specified Zeros Find a polynomial with integer coefficients that satisfies...

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