I assume the question is to factor this problem?
6x2 + 14x - 12 can be factored to give
(6x - 4)(x + 3) and then factor out a 2 to give 2(3x - 2)(x + 3) OR
you could've factored with
(3x - 2)(2x + 6), but the final answer would still be the same.
2(3x - 2)(x + 3)
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4x2 + 14x + 12 = 2(2x2 + 7x + 6) = 2(2x + 3)(x + 2)
If you mean: x^2 +14x +24 then it is (x+2)(x+12) when factored
6x^2 +32x +12 -4x -3x^2 -36 = 3x^2 +28x -24 simplified
x2 - 14x + 45 = (x - 5)(x - 9).
x2-14x+24=(x-12)(x-2) Since there are no options listed in this question ;), the answer could be either "x-12" or "x-2". How to factor a trinomial: see link.