Answer
$\frac{A}{x} + \frac{B}{x^{2}}+ \frac{Cx + D}{x^{2}+3} + \frac{Ex+F}{(x^{2}+3)^{2}}$
Work Step by Step
We must have a linear numerator for each power, and there must be a partial fraction for each power of $(x^{2} + 3)$ and x:
$\frac{A}{x} + \frac{B}{x^{2}}+ \frac{Cx + D}{x^{2}+3} + \frac{Ex+F}{(x^{2}+3)^{2}}$
