Suppose that R (x) is a polynomial of degree 11 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -2+3i, 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 (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 82E
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Suppose that R (x) is a polynomial of degree 11 whose coefficients are real numbers.
Also, suppose that R (x) has the following zeros.
-2+3i, 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?
Transcribed Image Text:Suppose that R (x) is a polynomial of degree 11 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -2+3i, 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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