Factor completely. x^2+4x-12

(x + 6) (x - 2)

Step-by-step explanation:

To factor the quadratic

Consider the factors of the constant term ( - 12) which sum to give the coefficient of the x - term ( + 4)

The factors are + 6 and - 2 since

+ 6 * - 2 = - 12 and + 6 - 2 = + 4, hence

x² + 4x - 12 = (x + 6) (x - 2)