factor the trinomial below
12x^2-32x-12
To factor the trinomial 12x^2 - 32x - 12, first factor out the greatest common factor, which is 4:
4(3x^2 - 8x - 3)
Next, find two numbers that multiply to -9 (the product of 3 and -3) and add up to -8 (the coefficient of the middle term):
-9 * 1 = -9
-9 + 1 = -8
Therefore, the trinomial can be factored as:
4(3x - 9)(x + 1)