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, -3+5i, 2+i, 2-i 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? olo

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 13E
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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,-3+5i, 2+i,
2-i
Answer the following.
(a) Find another zero of R ).
(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?
Check
O 2022 McGraw Hill LLC All Rights Reserve
Transcribed Image Text: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,-3+5i, 2+i, 2-i Answer the following. (a) Find another zero of R ). (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? Check O 2022 McGraw Hill LLC All Rights Reserve
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