Question

How do you factor `2x^2 − 6x − 36`?

Answer 1

`f(x) = 2(x^2 - 3x - 18)`= 2(x - p)(x - q)

Use the new AC Method to factor the trinomial.

Compose factor pairs of c = -18. Proceed: (-1, 18)(-2, 9)(-3, 6). This last sum is (6 - 3 = 3 = -b). Then p = 3 and q = -6.

Answer: f(x) = 2(x + 3)(x - 6)