(-2x3 - 2x2 + 12x) = -2x (x2 + x - 6) = -2x (x + 3) (x - 2)
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(x + 5)(x + 2)
It is: (x+1)(x+6) when factored
That would be -2 (x-2) x (x+3). Click on the Wolfram|Alpha link for all of your polynomial factorization needs.
x3 - 7x2 + 6x =x (x2 - 7x + 6) =x (x - 6) (x - 1)
The actual equation itself is the polynomial. There is no polynomial for it, and your question doesn't really make sense.