Question

How do you express `(x^3+1) / (x^2+4)` in partial fractions?

Answer 1

`(x^3+1)/(x^2+4)=x-(4x-1)/(x^2+4)`

Explanation:

`(x^3+1)/(x^2+4)=(x(x^2+4))/(x^2+4)+(-4x+1)/(x^2+4)`

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