SOLUTION: factor by grouping if possible and check 5x^3+4x^2-10x-8

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Question 699494: factor by grouping if possible and check
5x^3+4x^2-10x-8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E3%2B4x%5E2-10x-8 Start with the given expression


%285x%5E3%2B4x%5E2%29%2B%28-10x-8%29 Group the terms in two pairs


x%5E2%285x%2B4%29-2%285x%2B4%29 Factor out the GCF x%5E2 out of the first group. Factor out the GCF -2 out of the second group


%28x%5E2-2%29%285x%2B4%29 Since we have the common term 5x%2B4, we can combine like terms


So 5x%5E3%2B4x%5E2-10x-8 factors to %28x%5E2-2%29%285x%2B4%29


In other words, 5x%5E3%2B4x%5E2-10x-8=%28x%5E2-2%29%285x%2B4%29