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
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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
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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