10. Given the polynomial function f(x) = 5x(x² - 4)²(x+3)³ (a) (6 points) Find the zeros of f(x). SHOW ALL WORK! (b) (6 points) Determine the multiplicity of each zero, and if they cross or touch the x-axis at the zeros for f(x). SHOW ALL WORK!

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section: Chapter Questions
Problem 14T
Question
10. Given the polynomial function f(x) = 5x(x² - 4)²(x+3)³
(a) (6 points) Find the zeros of f(x). SHOW ALL WORK!
(b) (6 points) Determine the multiplicity of each zero, and if they cross or touch the
x-axis at the zeros for f(x). SHOW ALL WORK!
Transcribed Image Text:10. Given the polynomial function f(x) = 5x(x² - 4)²(x+3)³ (a) (6 points) Find the zeros of f(x). SHOW ALL WORK! (b) (6 points) Determine the multiplicity of each zero, and if they cross or touch the x-axis at the zeros for f(x). SHOW ALL WORK!
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