SOLUTION: true or false synthetic division and the factor theorem indicate that x - 3 is a factor of x^3 - x^2 - x - 15?

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Question 914225: true or false
synthetic division and the factor theorem indicate that x - 3 is a factor of x^3 - x^2 - x - 15?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

use the factor theorem and factor x%5E3+-+x%5E2+-+x+-+15 to see if x-3 is a factor
x%5E3+-+x%5E2+-+x+-+15 ....write -x%5E2 as 2x%5E2-3x%5E2 and -x as 5x-6x
x%5E3%2B2x%5E2%2B5x-3x%5E2-6x-15 group

%28x%5E3-3x%5E2%29%2B%282x%5E2-6x%29%2B%285x-15%29
x%5E2%28x-3%29%2B2x%28x-3%29%2B5%28x-3%29

%28x-3%29%28x%5E2%2B2x%2B5%29 ...so, x-3 is a factor