SOLUTION: factor compeletly: 2x cubed + x squared - 72x -36

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Question 119394: factor compeletly:
2x cubed + x squared - 72x -36
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x%5E3%2Bx%5E2-72x-36 Start with the given expression

%282x%5E3%2Bx%5E2%29%2B%28-72x-36%29 Group like terms


x%5E2%282x%2B1%29-36%282x%2B1%29 Factor out the GCF x%5E2 out of the first group. Factor out the GCF -36 out of the second group


%28x%5E2-36%29%282x%2B1%29 Since we have the common term 2x%2B1, we can combine like terms



%28x-6%29%28x%2B6%29%282x%2B1%29 Factor x%5E2-36 by use of the difference of squares

So 2x%5E3%2Bx%5E2-72x-36 factors to %28x-6%29%28x%2B6%29%282x%2B1%29