SOLUTION: a^2b+2ab-15b factor the polynomial completely

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Question 171342: a^2b+2ab-15b factor the polynomial completely
Answer by solver91311(24713) About Me  (Show Source):
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a%5E2b%2B2ab-15b

First, you have a b in every term, so factor that out:

b%28a%5E2%2B2a-15%29

Second, note that 5%2A-3=-15 and 5-3=2, so

%28a%2B5%29%28a-3%29=a%5E2%2B2a-15, and therefore

a%5E2b%2B2ab-15b=b%28a%2B5%29%28a-3%29