Suppose that Rx is a polynomial of degree 12 whose coefficients are real numbers. Also, suppose that Rx has the following zeros. 2, 5-3i, -i Answer the following. (a) Find another zero of Rx . (b) What is the maximum number of real zeros that Rx can have? (c) What is the maximum number of nonreal zeros that Rx

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
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 2E
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Suppose that 

Rx

 is a polynomial of degree 

12

 whose coefficients are real numbers.

Also, suppose that 

Rx

 has the following zeros.

 

2,   5-3i, -i
 

 

Answer the following.

(a) Find another zero of 
Rx
.
 
(b) What is the maximum number of real zeros that 
Rx
 can have?
 
(c) What is the maximum number of nonreal zeros that 
Rx
 can have?
 

 

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