Answer:
2(x + 4)(x - 3)
Explanation:
Given
2x² + 2x - 24 ← factor out 2 from each term
= 2(x² + x - 12)
To factor the quadratic
Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 1)
The factors are + 4 and - 3, since
4 × - 3 = - 12 and 4 - 3 = + 1, thus
x² + x - 12 = (x + 4)(x - 3) and
2x² + 2x - 24 = 2(x + 4)(x - 3)