f(x) = 3x3 - 9x2 - 12x + 6 a) Find the remainder when f(x) is divided by (x-4). b) Use the factor theorem to show that (x-2) is a factor of f(x). c) Factorize f(x) completely.
f(x) = 3x3 - 9x2 - 12x + 6 a) Find the remainder when f(x) is divided by (x-4). b) Use the factor theorem to show that (x-2) is a factor of f(x). c) Factorize f(x) completely.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.3: The Remainder And Factor Theorems; Synthetic Division
Problem 17E: Use the Remainder Theorem to find the remainder that occurs when P(x)=3x4+5x34x22x+1 is divided by...
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f(x) = 3x3 - 9x2 - 12x + 6
a) Find the remainder when f(x) is divided by (x-4).
b) Use the factor theorem to show that (x-2) is a factor of f(x).
c) Factorize f(x) completely.
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