Answer:
(x - 4)(x + 3)
Step-by-step explanation:
Given
x² - x - 12
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, then
x² - x - 12 = (x - 4)(x + 3) ← in factored form