Question

Factor the GCF out of the trinomial on the left side of the equation. (2 points: 1 for the GCF, 1 for the trinomial)2x^2 + 6x - 362(x^2 + 3x - 18)

Answer 1

Answer:

2(x+6)(x-3)

Step-by-step explanation:

Factor the GCF out of the trinomial on the left side of the equation.

$2x^2 + 6x - 36 =2(x^2 + 3x - 18)$

Greatest common factor of 2, 6, 18 is 2

so GCF is 2

divide each term when we take out GCF 2

so $2(x^2 + 3x - 18)$

now factor the trinomial

product is -18 and sum is +3

6 times -3 is -18  and 6-3=3

$2(x^2+3x-18)\\2(x+6)(x-3)$