Hi im stuck in dividing the numerator by denominator:

x^2 / (x^2 + x - 6)

could you pls explain how this is done? :(

the answer from quickmath is

-9/(5(x+3)) + 1 + 4/5(x - 2)

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- May 8th 2007, 11:02 AM^_^Engineer_Adam^_^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? :(

the answer from quickmath is

-9/(5(x+3)) + 1 + 4/5(x - 2) - May 8th 2007, 11:08 AMTD!
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.