3x^3-33x^2+72x

Factor this polynomial completely?

3 x (x - 3) (x - 8)

Step-by-step explanation:

Factor the following:

3 x^3 - 33 x^2 + 72 x

Factor 3 x out of 3 x^3 - 33 x^2 + 72 x:

3 x (x^2 - 11 x + 24)

The factors of 24 that sum to - 11 are - 3 and - 8. So, x^2 - 11 x + 24 = (x - 3) (x - 8):

Answer: 3 x (x - 3) (x - 8)