Suppose that R(x) is a polynomial of degree 12 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -6, 3+5i, -2+3i, -2-3i Answer the following. (a) Find another zero of R (x). 0 (b) What is the maximum number of real zeros that R (x) can have? 0 (c) What is the maximum number of nonreal zeros that R(x) can have? 0
Suppose that R(x) is a polynomial of degree 12 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -6, 3+5i, -2+3i, -2-3i Answer the following. (a) Find another zero of R (x). 0 (b) What is the maximum number of real zeros that R (x) can have? 0 (c) What is the maximum number of nonreal zeros that R(x) can have? 0
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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Question
![Suppose that R(x) is a polynomial of degree 12 whose coefficients are real numbers.
Also, suppose that R (x) has the following zeros.
-6, 3+5i, -2+3i,
-2-3i
Answer the following.
(a) Find another zero of R (x).
0
(b) What is the maximum number of real zeros that R (x) can have?
0
(c) What is the maximum number of nonreal zeros that R (x) can have?
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2039606c-ddf8-4dfc-99c4-5a13e28c47b4%2Ff516ad98-f7ba-4002-a3c5-3b22eaae0356%2F87uj9xa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that R(x) is a polynomial of degree 12 whose coefficients are real numbers.
Also, suppose that R (x) has the following zeros.
-6, 3+5i, -2+3i,
-2-3i
Answer the following.
(a) Find another zero of R (x).
0
(b) What is the maximum number of real zeros that R (x) can have?
0
(c) What is the maximum number of nonreal zeros that R (x) can have?
0
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