SOLUTION: Find the factor of: 2a+7 3a-4 --------- - ----------- a^2-2a-15 a^2-7a+10

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Question 530191: Find the factor of:
2a+7 3a-4
--------- - ------------
a^2-2a-15 a^2-7a+10
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the factor of:
%282a%2B7%29%2F%28a%5E2-2a-15%29 - %283a-4%29%2F%28a%5E2-7a%2B10%29
:
Factor
%282a%2B7%29%2F%28%28a-5%29%28a%2B3%29%29%29 - %283a-4%29%2F%28%28a-5%29%28a-2%29%29
:
The common denominator: (a-5)(a+3)(a-2)
;
%28%28a-2%29%282a%2B7%29+-+%28a%2B3%29%283a-4%29%29%2F%28%28a-5%29%28a%2B3%29%28a-2%29%29
:
FOIL; Remove brackets:
%28%282a%5E2%2B3a-14%29+-+%283a%5E2%2B5a-12%29%29%2F%28%28a-5%29%28a%2B3%29%28a-2%29%29 = %28%282a%5E2%2B3a-14+-+3a%5E2-5a%2B12%29%29%2F%28%28a-5%29%28a%2B3%29%28a-2%29%29
:
combine like terms and you have:
%28%28-a%5E2-2a-2%29%29%2F%28%28a-5%29%28a%2B3%29%28a-2%29%29
:
That's about all you can do with it