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Homework Statement
Factorize :
(x+1) (x+2) (x+3) (x+6)3 x^{2}
Homework Equations

The Attempt at a Solution
Expanding everything , I get x^{4}+12x^{3}+44x^{2}+72x+36 .
At this point I tried few guesses using rational roots test. But it appears this has no rational roots. So how should I factor this polynomial ?