SOLUTION: How do you factor x^3-7x^2-9x+63

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Question 574971: How do you factor x^3-7x^2-9x+63
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E3-7x%5E2-9x%2B63 Start with the given expression


%28x%5E3-7x%5E2%29%2B%28-9x%2B63%29 Group the terms in two pairs


x%5E2%28x-7%29-9%28x-7%29 Factor out the GCF x%5E2 out of the first group. Factor out the GCF -9 out of the second group


%28x%5E2-9%29%28x-7%29 Since we have the common term x-7, we can combine like terms


%28x-3%29%28x%2B3%29%28x-7%29 Now factor x%5E2-9 to get %28x-3%29%28x%2B3%29


So x%5E3-7x%5E2-9x%2B63 factors to %28x-3%29%28x%2B3%29%28x-7%29


In other words, x%5E3-7x%5E2-9x%2B63=%28x-3%29%28x%2B3%29%28x-7%29