I understand the main idea about partial fractions. We were given this 'challenge problem', and this definitely doesn't look

what are the coefficients A B C D E for

(5x^4 - 10x^3 + x^2 - 24x + 18) /

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

using: A/x-4 + Bx+C/x^2+1 + Dx+E/ ((x^2+1)^2)