SOLUTION: factor completely x^3+7x^2-5x-35

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Question 321541: factor completely x^3+7x^2-5x-35
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3%2B7x%5E2-5x-35 Start with the given expression


%28x%5E3%2B7x%5E2%29%2B%28-5x-35%29 Group like terms


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


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


So x%5E3%2B7x%5E2-5x-35 factors to %28x%5E2-5%29%28x%2B7%29


In other words, x%5E3%2B7x%5E2-5x-35=%28x%5E2-5%29%28x%2B7%29