SOLUTION: please help factor x^3-2x^2-x+2

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Question 55695: please help factor
x^3-2x^2-x+2
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
Factor
x%5E3-2x%5E2-x%2B2 If there are four term try factoring by grouping:
%28x%5E3-2x%5E2%29%2B%28-x%2B2%29 Factor the GCF out of each group:
x%5E2%28x-2%29-1%28x-2%29 Factor the (x-2) out:
%28x-2%29%28x%5E2-1%29 The second parenthesis has a difference of squares that is factored like this: highlight%28a%5E2-b%5E2=%28a%2Bb%29%28a-b%29%29 a=x, b=1:
%28x-2%29%28x%2B1%29%28x-1%29
Happy Calculating!!!