Can anyone help me solve this Rational functions?

Question

H(x)= (x^4+2x^2+1)/(x^2-x+1)

Answer 1

This problem will require long division of polynomials.  http://www.purplemath.com/modules/polydi... A link is here since it's very long to describe on this.

Answer 2

H(x)= (x^4+2x^2+1)/(x^2-x+1)

divde

(x^4+2x^2+1)/(x^2-x+1)

x^2 + x + 2  remainder  (x-1)

or

x^2 + x + 2 + (x-1)/(x^2 - x +1)