SOLUTION: Factor the polynomial by grouping z to the third power subtract 4z to the second power add 3z subtract 12 i grouped them but i have no idea what to do next

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Question 189682: Factor the polynomial by grouping
z to the third power subtract 4z to the second power add 3z subtract 12 i grouped them but i have no idea what to do next
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

z%5E3-4z%5E2%2B3z-12 Start with the given expression


%28z%5E3-4z%5E2%29%2B%283z-12%29 Group like terms


z%5E2%28z-4%29%2B3%28z-4%29 Factor out the GCF z%5E2 out of the first group. Factor out the GCF 3 out of the second group


%28z%5E2%2B3%29%28z-4%29 Since we have the common term z-4, we can combine like terms


So z%5E3-4z%5E2%2B3z-12 factors to %28z%5E2%2B3%29%28z-4%29