Question

Which binomials are factors of x^2 + 4x – 12?

Select the two correct answers.
x - 3
x - 6
x - 4
x - 2
x + 3
X + 6
x + 2
x + 4

Answer 1

(X+6)(x-2)
X=-6
X=2
Hope this helps

Answer 2

x + 6 and x - 2

Explanation:

Given

x² + 4x - 12

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 , thus

x² + 4x - 12 = (x + 6)(x - 2) ← in factored form