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