Question

Write out the form of the partial fraction decomposition of the function (see example). do not determine the numerical values of the coefficients. (a) x4 + 5 / x5 + 2x3

Answer 1

$\dfrac{x^4+5}{x^5+2x^3}=\dfrac{x^4+5}{x^3(x^2+2)}=\dfrac ax+\dfrac b{x^2}+\dfrac c{x^3}+\dfrac{dx+e}{x^2+2}$