Answer:
x = - 4, x = 2
Step-by-step explanation:
Given
x² + 2x - 8 = 0
Consider the factors of the constant term ( - 8) which sum to give the coefficient of the x- term ( + 2)
The factors are + 4 and - 2, since
4 × - 2 = - 8 and 4 - 2 = + 2, hence
(x + 4)x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
