Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose that R(x) has the following zeros. -4-5i, 5-i, -4i 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 7 whose coefficients are real numbers. Also, suppose that R(x) has the following zeros. -4-5i, 5-i, -4i 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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers.
Also, suppose that R(x) has the following zeros.
-4-5i, 5-i, -4i
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
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# 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90b823f6-a59b-43f1-924e-a48b4e93719a%2F16358e19-50f0-4021-a07e-7bb158c2eec3%2Fet5gsk7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers.
Also, suppose that R(x) has the following zeros.
-4-5i, 5-i, -4i
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
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# 3
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