SOLUTION: What are the factors of q^3-q^2+2q-2?

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Question 174853: What are the factors of q^3-q^2+2q-2?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

q%5E3-q%5E2%2B2q-2 Start with the given expression


%28q%5E3-q%5E2%29%2B%282q-2%29 Group like terms


q%5E2%28q-1%29%2B2%28q-1%29 Factor out the GCF q%5E2 out of the first group. Factor out the GCF 2 out of the second group


%28q%5E2%2B2%29%28q-1%29 Since we have the common term q-1, we can combine like terms


So q%5E3-q%5E2%2B2q-2 factors to %28q%5E2%2B2%29%28q-1%29 which means that the factors are q%5E2%2B2 and q-1