Hi all,

I have the fraction:

$\displaystyle (x^4 + 3x^2 - 4)/(x^2 + 1)$

We have been asked to express in mixed number form using i) long division and ii) using the remainder theorem.

Have done the long division bit and got a remainder of -6.

I am not sure how to use the remainder theorem with the x^2 + 1 as if you use f(-1) you get the remainder 0. How do i go about using the remainder theorem with a squared x?

Thanks!