Suppose that R (x) is a polynomial of degree 9 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. 2i, -5-4i 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
Section3.4: Real Zeros Of Polynomials
Problem 12E: Possible Rational ZerosA polynomial function P and its graph are given. (a) List all possible...
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O POLYNOMIAL AND RATIONAL FUNCTIONS
Linear factors theorem and conjugate zeros theorem
Suppose that R(x) is a polynomial of degree 9 whose coefficients are real numbers.
Also, suppose that R (x) has the following zeros.
2i, -5-4i
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?
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Transcribed Image Text:O POLYNOMIAL AND RATIONAL FUNCTIONS Linear factors theorem and conjugate zeros theorem Suppose that R(x) is a polynomial of degree 9 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. 2i, -5-4i 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? Expnation Check MacBook Air
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