Question

How do you write the partial fraction decomposition of the rational expression `x^2 / (x² + x + 2)`?

Answer 1

`x^2/(x^2+x+2)={(x^2+x+2)-(x+2)}/(x^2+x+2)`

`(x^2+x+2)/(x^2+x+2)-(x+2)/(x^2+x+2) =1-(x+2)/(x^2+x+2)`.