Question

What is the trinomial with it’s correct factorization?

Answer 1

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)