SOLUTION: Factor: 4z-14+2z^3-7z^2

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Question 200307: Factor: 4z-14+2z^3-7z^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4z-14%2B2z%5E3-7z%5E2 Start with the given expression.


2z%5E3-7z%5E2%2B4z-14 Rearrange the terms in descending order.


%282z%5E3-7z%5E2%29%2B%284z-14%29 Group like terms


z%5E2%282z-7%29%2B2%282z-7%29 Factor out the GCF z%5E2 out of the first group. Factor out the GCF 2 out of the second group


%28z%5E2%2B2%29%282z-7%29 Since we have the common term 2z-7, we can combine like terms


So 4z-14%2B2z%5E3-7z%5E2 factors to %28z%5E2%2B2%29%282z-7%29