SOLUTION: 2x^3+10x^2-5x-25

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Question 236423: 2x^3+10x^2-5x-25
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x%5E3%2B10x%5E2-5x-25 Start with the given expression


%282x%5E3%2B10x%5E2%29%2B%28-5x-25%29 Group like terms


2x%5E2%28x%2B5%29-5%28x%2B5%29 Factor out the GCF 2x%5E2 out of the first group. Factor out the GCF -5 out of the second group


%282x%5E2-5%29%28x%2B5%29 Since we have the common term x%2B5, we can combine like terms


So 2x%5E3%2B10x%5E2-5x-25 factors to %282x%5E2-5%29%28x%2B5%29


In other words, 2x%5E3%2B10x%5E2-5x-25=%282x%5E2-5%29%28x%2B5%29