Answer:
x(x - 6)(x + 4)
Explanation:
x³ - 2x² - 24x ← factor out x from each term
= x(x² - 2x - 24) ← factor the quadratic
consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 2)
the factors are - 6 and + 4 , then
x² - 2x - 24 = (x - 6)(x + 4)
then
x³ - 2x² - 24x = x(x - 6)(x + 4)