SOLUTION: Factor Each Expression: 3p cubed - 21 p squared-p+7

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Question 119389: Factor Each Expression:
3p cubed - 21 p squared-p+7



Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3p%5E3-21p%5E2-p%2B7 Start with the given expression

%283p%5E3-21p%5E2%29%2B%28-p%2B7%29 Group like terms


3p%5E2%28p-7%29-1%28p-7%29 Factor out the GCF 3p%5E2 out of the first group. Factor out the GCF -1 out of the second group


%283p%5E2-1%29%28p-7%29 Since we have the common term p-7, we can combine like terms

So 3p%5E3-21p%5E2-p%2B7 factors to %283p%5E2-1%29%28p-7%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Factor Each Expression:
3p cubed - 21 p squared-p+7
3p^3-21p^2-p+7
3p^2(p-7)-(p-7)
(p-7)(3p^2-1)
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This could be continued as follows:
(p-7)((sqrt3)p-1)((sqrt3)p+1)
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Cheers,
Stan H.