Which is a factor of: 2x^2+2x−12 ?

(x - 2) and (x + 3) is a factor of: 2x² + 2x - 12

Step-by-step explanation:

2x² + 2x - 12 given equation

Now divide it by 2 we get,

x² + x - 6

then

x² + x - 6

x² + 3x - 2x - 6

x(x + 3) - 2(x + 3)

(x - 2) (x + 3)

2 ( x+3)(x-2)

Step-by-step explanation:

2x^2+2x−12

Factor out 2

2 ( x^2 +x-6)

Factor inside the parentheses

What 2 numbers multiply to -6 and add to 1

3*-2 = -6

3+-2 =1

2 ( x+3)(x-2)