# Polynomial Long division

1. May 13, 2013

I've looked examples up online and I just can't figure out what to do exactly when I have (2x^2)/(x^2+1), for some stupid reason that was probably the work of satan, EVERY problem on the internet only has the lead coefficient of the numerator equal to or less than that in the denominator and when I divide I just don't get the answer I am suppose to get.

............(1/2)???
2x^2...|(x^2+1)
2x^2 goes into x^2 one half times according to my mathematics, but somehow that answer doesn't work, somehow 2x^2 goes into x^2 twice.

2. May 13, 2013

### Staff: Mentor

You're doing the division backwards. The divisor is x2 + 1, so it should be outside when you do the long division. Your quotient should be 2 + (-2)/(x2 + 1).

As a check, multiply the quotient ( 2 + (-2)/(x2 + 1) ) by the divisor ( x2 + 1 ), and you'll get 2x2.

3. May 13, 2013