Respuesta :

You may perform the division using either long division or synthetic division.  Any preference?

I used synthetic div. with -2 as the divisor:

      ________________
-2  /  3   4   -10   0   15
             -6     4   12  -24
        -------------------------
        3    -2   -6    12   -9

In factored form, with remainder, we then have:

   (x+2)(3x^3 - 2x^2 - 6x + 12)   remainder -9

If you need clarification of any part of this solution, let me know.