Suppose that R(x) is a polynomial of degree 15 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. 1-2i, -3i, 2 (with multiplicity 4) Answer the following. (a) Find another zero of R (x). (b) What is the maximum number of real zeros (not necessarily distinct) that R (x) can ha (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
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Suppose that R(x) is a polynomial of degree 15 whose coefficients are real numbers.
Also, suppose that R (x) has the following zeros.
1-2i,
-3i, 2 (with multiplicity 4)
Answer the following.
(a) Find another zero of R (x).
(b) What is the maximum number of real zeros (not necessarily distinct) that R (x) can have?
(c) What is the maximum number of nonreal zeros that R (x) can have?
Transcribed Image Text:Suppose that R(x) is a polynomial of degree 15 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. 1-2i, -3i, 2 (with multiplicity 4) Answer the following. (a) Find another zero of R (x). (b) What is the maximum number of real zeros (not necessarily distinct) that R (x) can have? (c) What is the maximum number of nonreal zeros that R (x) can have?
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