SOLUTION: I have a final tomorrow and this question is on the review. Factor completely: x^3+x^2-25x-25

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Question 141288: I have a final tomorrow and this question is on the review.
Factor completely:
x^3+x^2-25x-25
Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely:
x^3+x^2-25x-25
= x^2(x+1)-25(x+1)
= (x+1)(x^2-25)
= (x+1)(x-5)(x+5)
=================================
Cheers,
Stan H.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely:
x%5E3%2Bx%5E2-25x-25 First, factor by grouping, as follows:
%28x%5E3%2Bx%5E2%29-%2825x%2B25%29 Notice the sign change in the last term because of the added parentheses. Now fctor x%5E2 from the first group and 25 from the second group.
x%5E2%28x%2B1%29-25%28x%2B1%29 Factor out the (x+1)
%28x%2B1%29%28x%5E2-5%29 Now notice that the second factor is the difference of squares:%28x%29%5E2-%285%29%5E2 and you can factor this.
%28x%2B1%29%28x%2B5%29%28x-5%29...and this is as far as you can go!