Consider the function f(z) = z' + 5z2 - 14z. . Enter the factors and the roots separated by a comma. a, How many roots could f(I) have? f(1) has at most roots. b. List the factors of f(x). The factors of f(1) are c. List the roots of f(r). The roots of f(1) are d. Give an example of a different function with exactly the same roots as (r). 9(z) is a new function with the same roots as f(x).
Consider the function f(z) = z' + 5z2 - 14z. . Enter the factors and the roots separated by a comma. a, How many roots could f(I) have? f(1) has at most roots. b. List the factors of f(x). The factors of f(1) are c. List the roots of f(r). The roots of f(1) are d. Give an example of a different function with exactly the same roots as (r). 9(z) is a new function with the same roots as f(x).
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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Transcribed Image Text:Consider the function f(z) = z' + 5z2 - 14z.
. Enter the factors and the roots separated by a comma.
a, How many roots could f(I) have?
f(1) has at most
roots.
b. List the factors of f(x).
The factors of f(1) are
c. List the roots of f(r).
The roots of f(1) are
d. Give an example of a different function with exactly the same roots as (r).
g(r)
is a new function with the same roots as f(x).
Hint:
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