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).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 14T
icon
Related questions
Question
plz solve all parts within 30-40 mins I'll give you multiple upvote
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:
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:
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning