Partial fraction decomposition of (22x²+60x+58)/((x+1)(x²+4x+5)²)

[Disar]

Hey eveyone,

trying to determine the partial fraction decomposition of:

(22x^2+60x+58)
(s+1)(x^2+4x+5)^2

I got values for my unknowns A, B, C, D,E are:
A=5
B=-1777/29
C=-6143/29
D=-570/29
E=840/29

If anyone out there can double check these for me.

 

[mezarashi]

A self check with partial fractions is fairly easy. Set up the two equations with the partially fractioned version on the right and the original on the left and simplify the right side. See if the numerator turns out to be the same.