Hi, im having much confusion and difficulty in answering this question.Thankyou for any help in advance

Let f be defined by

$\displaystyle f(z)=\frac{1}{2z^{2}-(1+2i)z+i}$

(a) Find the poles z1 and z2 of f such that $\displaystyle \left | z1 \right |< \left | z2 \right |$.

(b) Give the series expansion of f in the following three regions, stating in each case if it is a Taylor or Laurent series.

i. $\displaystyle \left | z \right |< \left | z1 \right |$

ii. $\displaystyle \left |z1 \right |< \left | z \right |< \left | z2 \right |$

iii. $\displaystyle |z-z1| < |z2-z1|$

Thankyou again.