Answer:
(x - 8)(x + 3)
Explanation:
x² - 5x - 24
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 5)
The factors are - 8 and + 3 , since
- 8 × 3 = - 24 and - 8 + 3 = - 5 , then
x² - 5x - 24 = (x - 8)(x + 3)