Answer:
-x (2 x - 5) (3 x + 2)
Step-by-step explanation:
Factor the following:
-6 x^3 + 11 x^2 + 10 x
Factor -x out of -6 x^3 + 11 x^2 + 10 x:
-x (6 x^2 - 11 x - 10)
Factor the quadratic 6 x^2 - 11 x - 10. The coefficient of x^2 is 6 and the constant term is -10. The product of 6 and -10 is -60. The factors of -60 which sum to -11 are 4 and -15. So 6 x^2 - 11 x - 10 = 6 x^2 - 15 x + 4 x - 10 = 2 x (3 x + 2) - 5 (3 x + 2):
-x 2 x (3 x + 2) - 5 (3 x + 2)
Factor 3 x + 2 from 2 x (3 x + 2) - 5 (3 x + 2):
Answer: -x (2 x - 5) (3 x + 2)
