The partial fraction decomposition of x2 +56/x3+x2 can be written in the form of f(x)/x +g(x)/x2+h(x)/x+1,where

Question

The partial fraction decomposition of x² +56/x³+x² can be written in the form of f(x)/x +g(x)/x²+h(x)/x+1,where

f(x)=

g(x)=

h(x)=

Answer 1

f(x) = -56

g(x) = 56

h(x) = 57

-56/x + 56/x^2 + 57/(x+1) = (x^2+56)/(x^3+x^2)