SOLUTION: x3 – 2x2 + 7x – 14

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Question 146265: x3 – 2x2 + 7x – 14
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E3-2x%5E2%2B7x-14 Start with the given expression

%28x%5E3-2x%5E2%29%2B%287x-14%29 Group like terms


x%5E2%28x-2%29%2B7%28x-2%29 Factor out the GCF x%5E2 out of the first group. Factor out the GCF 7 out of the second group


%28x%5E2%2B7%29%28x-2%29 Since we have the common term x-2, we can combine like terms

So x%5E3-2x%5E2%2B7x-14 factors to %28x%5E2%2B7%29%28x-2%29