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)   (Show Source): You can put this solution on YOUR website!

Start with the given expression

Group like terms


Factor out the GCF out of the first group. Factor out the GCF out of the second group


Since we have the common term , we can combine like terms

So factors to

Answer by stanbon(75887)   (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)
---------------
This could be continued as follows:
(p-7)((sqrt3)p-1)((sqrt3)p+1)
============
Cheers,
Stan H.

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