Using partial fractions - why is it Ax+B/x^2 and not A/x + B/x^2?

[IntegrateMe]

Partial fractions of (-2x²+10x+8)/[x²(x+2)]

I initally thought that it was A/x + Bx+C/x² + D/x+2 but you really just do Ax+B/x² + C/x+2 ...can anyone explain why the "x²" isn't split?

 

[Dick]

A/x+(B+Cx)/x^2=A/x+B/x^2+C*x/x^2=A/x+C/x+B/x^2. Doesn't that make the C term sort of redundant?