One factor of f(x) = 4x³-4x²-16x+ 16 is (x-2). What are all the roots of the function? Use the Remainder Theorem. x = 1, x = 2, or x = 4 x = -2, x = 1, or x = 2 OOOO x = 2, x = 4, or x = 16 O x=-16, x = 2, or x = 16

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 8T: Use synthetic division to show that x=3 is a zero of the function f(x)=2x35x26x+15. Use the result...
Question
gynthetic Division and the Remainder Theorem
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One factor of f(x) = 4x³-4x²-16x+16 is (x - 2). What are all the roots of the function? Use the Remainder Theorem.
x = 1, x = 2, or x = 4
x = -2, x = 1, or x = 2
x = 2, x = 4, or x = 16
x= -16, x=2, or x = 16
Transcribed Image Text:gynthetic Division and the Remainder Theorem re-Test Active 1 2 ОС 3 4 5 6 7 8 9 10 TIME REMAINING 59:09 One factor of f(x) = 4x³-4x²-16x+16 is (x - 2). What are all the roots of the function? Use the Remainder Theorem. x = 1, x = 2, or x = 4 x = -2, x = 1, or x = 2 x = 2, x = 4, or x = 16 x= -16, x=2, or x = 16
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