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, 1-2i, -3-3i, -3+3i 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, 1-2i, -3-3i, -3+3i 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
Section: Chapter Questions
Problem 6DE
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Question
![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, 1-2i, -3-3i,
-3+3i
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
II](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29ce3a4c-cb07-4c4c-bb91-a57b2d1f76d3%2F473635a5-813a-4701-a00d-602f647565c2%2Fijqqdsl_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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, 1-2i, -3-3i,
-3+3i
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
II
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