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?

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
Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra
Problem 46E: Finding a Polynomial with Specified Zeros Find a polynomial with integer coefficients that satisfies...
icon
Related questions
Question
100%
O POLYNOMIAL AND RATIONAL FUNCTIONS
Linear factors theorem and conjugate zeros theorem
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?
Explanation
Check
2021 McGraw
MacBook Air
esc
F2
F3
F7
@
#
$
&
2
3
4
6.
Q
W
E
R
Y
A
S
II
Transcribed Image Text:O POLYNOMIAL AND RATIONAL FUNCTIONS Linear factors theorem and conjugate zeros theorem 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? Explanation Check 2021 McGraw MacBook Air esc F2 F3 F7 @ # $ & 2 3 4 6. Q W E R Y A S II
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning