SOLUTION: factor x^3+8x^2+2x+16

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Question 530262: factor
x^3+8x^2+2x+16
Answer by jim_thompson5910(35256) About Me  (Show Source):
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x%5E3%2B8x%5E2%2B2x%2B16 Start with the given expression


%28x%5E3%2B8x%5E2%29%2B%282x%2B16%29 Group the terms in two pairs


x%5E2%28x%2B8%29%2B2%28x%2B8%29 Factor out the GCF x%5E2 out of the first group. Factor out the GCF 2 out of the second group


%28x%5E2%2B2%29%28x%2B8%29 Since we have the common term x%2B8, we can combine like terms


So x%5E3%2B8x%5E2%2B2x%2B16 factors to %28x%5E2%2B2%29%28x%2B8%29


In other words, x%5E3%2B8x%5E2%2B2x%2B16=%28x%5E2%2B2%29%28x%2B8%29


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