Factor completely 3x^2 - 11x + 8.

(x - 1) (3 x - 8)

Step-by-step explanation:

Factor the following:

3 x^2 - 11 x + 8

Factor the quadratic 3 x^2 - 11 x + 8. The coefficient of x^2 is 3 and the constant term is 8. The product of 3 and 8 is 24. The factors of 24 which sum to - 11 are - 3 and - 8. So 3 x^2 - 11 x + 8 = 3 x^2 - 8 x - 3 x + 8 = 3 x (x - 1) - 8 (x - 1):

3 x (x - 1) - 8 (x - 1)

Factor x - 1 from 3 x (x - 1) - 8 (x - 1):

Answer: (x - 1) (3 x - 8)