SOLUTION: how can i factorize this sum x^3-x^2+ax+x-a-1 ? please help me thanks

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Question 151903: how can i factorize this sum x^3-x^2+ax+x-a-1 ? please help me thanks
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
First, we need to re-group the terms.
x^3-x^2+ax+x-a-1
= (x^3 - x^2) + (ax - a) + (x - 1)
= x^2(x - 1) + a(x - 1) + (x - 1)
= (x - 1)(x^2 + a + 1)