SOLUTION: I need help factoring this problem: {{{t^3+6t^2-2t-12}}}

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Question 220613: I need help factoring this problem:
t%5E3%2B6t%5E2-2t-12
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Factor by "grouping":
.
t%5E3%2B6t%5E2-2t-12
%28t%5E3%2B6t%5E2%29-%282t%2B12%29 Notice, the "sign" change!
t%5E2%28t%2B6%29-2%28t%2B6%29
Now, factor out (t+6):
%28t%2B6%29%28t%5E2-2%29
But, wait, we're not done. Look at the right term, it can be factored:
%28t%2B6%29%28t%2Bsqrt%282%29%29%28t-sqrt%282%29%29