Factor completely:
11x^2-24x-x^3

[tex] {11x}^{2} - 24x - {x}^{3} \\ = { - x}^{3} + 11 {x}^{2} - 24x \\ = - x( {x}^{2} - 11x + 24) \\ = - x( {x}^{2} - 8x - 3x + 24) \\ = - x( x(x - 8) - 3(x - 8) \\ = - x(x - 3)(x - 8)[/tex]
Hope you could understand.
If you have any query, feel free to ask.