Answer:
The correct factorization of this trinomial should be (x - 6)(x + 2)
Step-by-step explanation:
We know this because when we factor trinomials with a 1 as the lead coefficient, the end terms in the parenthesis will always multiply to the constant (-12) and add to the middle term (-4). If we make a list of the factors of -12, we can choose the one that adds up to -4.
1 * -12
-1 * 12
2 * -6
-2 * 6
3 * -4
-3 * 4
So we put these two in a parenthesis with the x terms like this
(x - 6)(x + 2)
