# Math Help - Partial Fractions

1. ## Partial Fractions

Hi im stuck in dividing the numerator by denominator:
x^2 / (x^2 + x - 6)
could you pls explain how this is done?
-9/(5(x+3)) + 1 + 4/5(x - 2)

2. Trick to avoid the polynomial long division:

x²/(x²+x-6)
= (x²+x-6-x+6)/(x²+x-6)
= (x²+x-6)/(x²+x-6) - (x-6)/(x²+x-6)
= 1 - (x-6)/(x²+x-6)

Now partial fractions on the fraction that's left.