Factor out the greatest common factor x^3+8x^2+2x+16

Original conversation

User: Factor out the greatest common factor x^3+8x^2+2x+16

Weegy: Start with the given expression
%28x%5E3%2B8x%5E2%29%2B%282x%2B16%29 Group like terms
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
] Expert answered|selymi|Points 10586|

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