Here's the thing, I know how to do a partial fraction problem, but this particular one doesn't seem to make any sense. The problem is given to you already broken up into the fractions, and asks you to find the values of A, B, and C:

Now here's the weirdness. If you multiply [tex]x * x^2 * x-5[tex] back together, you don't get

.

Mr F says: You're not meant to. Go back and review your class notes on what to do when there is a repeated factot (the repeated factor in your case is x).
Because of this, I can't seem to do the problem, because when I get the system of equations for A, B, and C, I have nothing to set equal to 1! Am I just not understanding this correctly, or is the problem itself flawed?