SOLUTION: factor by grouping 2p^2-p-8p+4

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Question 207856: factor by grouping
2p^2-p-8p+4
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
2p%5E2-p-8p%2B4 Start with the given expression


%282p%5E2-p%29%2B%28-8p%2B4%29 Group like terms


p%282p-1%29-4%282p-1%29 Factor out the GCF p out of the first group. Factor out the GCF -4 out of the second group


%28p-4%29%282p-1%29 Since we have the common term 2p-1, we can combine like terms


So 2p%5E2-p-8p%2B4 factors to %28p-4%29%282p-1%29