3X2 - 12
3(X2 - 4)
=========All the factoring that can be done here.
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For a start, you can look for a common factor, and separate it. What remains (the other factor) will only be a polynomial of degree 2; I assume you already learned how to factor that.
(3x - 8)(8x + 5)
(2x - 3)(3x + 2)
(3x - 4)(2x^2 + 6x + 5)
If that's -5, the answer is (x - 1)(3x + 5) If that's +5, it gets ugly in a hurry.
6y2+17y-14 = (2x+7)(3x-2) when factored