document.write( "Question 141288: I have a final tomorrow and this question is on the review.
\n" ); document.write( "Factor completely:
\n" ); document.write( "x^3+x^2-25x-25 \n" ); document.write( "

Algebra.Com's Answer #102933 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Factor completely:
\n" ); document.write( " $\"x%5E3%2Bx%5E2-25x-25\"$ First, factor by grouping, as follows:
\n" ); document.write( " $\"%28x%5E3%2Bx%5E2%29-%2825x%2B25%29\"$ 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.
\n" ); document.write( " $\"x%5E2%28x%2B1%29-25%28x%2B1%29\"$ Factor out the (x+1)
\n" ); document.write( " $\"%28x%2B1%29%28x%5E2-5%29\"$ Now notice that the second factor is the difference of squares: $\"%28x%29%5E2-%285%29%5E2\"$ and you can factor this.
\n" ); document.write( " $\"%28x%2B1%29%28x%2B5%29%28x-5%29\"$ ...and this is as far as you can go! \n" ); document.write( "

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