Factor completely 3x3 - 6x2 - 24x. 3x (x - 4) (x + 2) 3x (x + 4) (x - 2) 3x (x - 3) (x - 2) 3x (x + 3) (x - 2)

3x (x - 4) (x + 2)

Step-by-step explanation:

Given

3x³ - 6x² - 24x ← factor out common factor of 3x from each term

= 3x (x² - 2x - 8) ← factor the quadratic

Consider the factors of the constant term ( - 8) which sum to give the coefficient of the x - term.

The factors are - 4 and + 2, since

- 4 * 2 = - 8 and - 4 + 2 = - 2, thus

x² - 2x - 8 = (x - 4) (x + 2) and

3x³ - 6x² - 24x = 3x (x - 4) (x + 2)