Completely factor - 6x^3+11x^2+10x

-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)