SOLUTION: Factor each polynomial completely. Please show work. a^2b + 2ab - 15b

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Question 192702: Factor each polynomial completely. Please show work.
a^2b + 2ab - 15b

Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Note that b is the common factor of the three terms, we must factor it out first.
a%5E2b+%2B+2ab+-+15b
=b%28a%5E2%2B2a-15%29
Next factor a^2+2a-15.
a%5E2b+%2B+2ab+-+15b
=b%28a%5E2%2B2a-15%29
=b%28a%2B5%29%28a-3%29