Stumbled on a practice problem set, and there was this question:
Determine the singular points of the function and state why the function is analytic everywhere except at those points:
a.) $f(z)= \frac{2z+1}{z(z^3+1)}$ (I'm not sure on how to deal with the $z^3$ term)
b.) $f(z)= \frac{z^3+i}{z^2-3iz+2}$ (I am totally lost on on how to simplify the denominator)
Any tips would be appreciated!
Hint: In both cases, the singular points are the zeros of the denominator.