Answer:
(n + 6)(n - 2)
Explanation:
Given
n² + 4n - 12
Consider the factors of the constant term (- 12) which sum to give the coefficient of the n- term (+ 4)
The factors are + 6 and - 2 , since
6 × - 2 = - 12 and 6 - 2 = + 4
Then
n² + 4n - 12 = (n + 6)(n - 2) ← in factored form