so the question has two parts and goes like this:

1) use long division to turn the rational function:

f(x)=(2x^4-5x^3-9x-12)/(x^3-3x^2+3x-9)

into the sum of a polynomial and a proper rational function g(x).

so i did this and got the answer, then i got stuck on part two when it asked:

2) Look for a small integer root of the denominator of f(x); and use this to find the partial fraction decomposition of g(x)

help please!? i don't know what it's asking me to do.