x^3 - x^2 - 14x +24

Since that is not an equation, there is nothing to solve. What exactly is your question?

Are you supposed to factor it?

One factor is (x -2). I see than by inspection. (plug in x = 2 and get zero)

Divide x-2 into
x^3 - x^2 - 14x +24
to get a quadratic polynomial that can also be factored: x^2 +x - 12.


x^3 - x^2 - 14x +24 = (x-2)(x+4)(x-3)