SOLUTION: How do I completely factor the polynomial: 8x^3+64x^2+8x+64

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Question 734898: How do I completely factor the polynomial:
8x^3+64x^2+8x+64
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How do I completely factor the polynomial:
8x^3+64x^2+8x+64
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Hint: The coefficients are 8, 64, 8, 64

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

8x%5E3%2B64x%5E2%2B8x%2B64 Start with the given expression


%288x%5E3%2B64x%5E2%29%2B%288x%2B64%29 Group the terms in two pairs


8x%5E2%28x%2B8%29%2B8%28x%2B8%29 Factor out the GCF 8x%5E2 out of the first group. Factor out the GCF 8 out of the second group


%288x%5E2%2B8%29%28x%2B8%29 Since we have the common term x%2B8, we can combine like terms


So 8x%5E3%2B64x%5E2%2B8x%2B64 factors to %288x%5E2%2B8%29%28x%2B8%29


In other words, 8x%5E3%2B64x%5E2%2B8x%2B64=%288x%5E2%2B8%29%28x%2B8%29