Answer:
(x - 12)(x + 2)
Step-by-step explanation:
Given
x² - 10x - 24
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 12 and + 2 , since
- 12 × + 2 = - 24 and - 12 + 2 = - 10 , thus
x² - 10x - 24 = (x - 12)(x + 2) ← in factored form
