Suppose that R (x) is a polynomial of degree 10 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -2, 1+3i, -4+2i, -4-2i 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 10 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -2, 1+3i, -4+2i, -4-2i 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?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 43E
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