SOLUTION: I don't understand how to factor this problem: {{{2a^2-9a-18}}}

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Question 751358: I don't understand how to factor this problem: 2a%5E2-9a-18
Found 2 solutions by reviewermath, FrankM:
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
The factored form of 2a%5E2+-+9a+-+18 is highlight%28%282a+%2B+3%29%28a+-+6%29%29.

Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
2a%5E2-9a-18

These problems take a bit of trial and error.
%282a%2B2%29%28a-9%29=+2a%5E2-16a-18 I got the first and last term but we need the middle term to work.

The 2 has just the two factors, 2 and 1, but 18 has these pairs,(18,1)(9,2)(6,3) along with the choice of where the negative sign goes.
Turns out this is the correct result -
%282a%2B3%29%28a-6%29