i am stuck on this problem for my pre calc class. any help would be greatly appreciated.

Suppose you want to divide $\displaystyle 3x^4-2x^3+x^2-2x+5$ by $\displaystyle 2x+3$. How might you change this problem so that synthetic division can be used to get the correct answer?

i know that synthetic division can only be used if it is $\displaystyle (x-c)$ because the coefficient of x may only be positive one. but thats it.

Thank you very much.