Factor completely 2x2 + 2x − 24.

Answer 1

To factor completely the expression 2x^2 + 2x - 24, we first look for a common factor among the coefficients:

2x^2 + 2x - 24
= 2(x^2 + x - 12)

Next, we need to factor the quadratic trinomial x^2 + x - 12:

x^2 + x - 12 = (x + 4)(x - 3)

Therefore, the factored form of the expression 2x^2 + 2x - 24 is:

2(x + 4)(x - 3)