The roots are of the form . You start with the of -1 and add multiples of , not , and divide by 3.

You can factor the function into where , , are the zeros of the denominator. Now you can see that, for example, in a neighborhood of , you have a function analytic in that neighborhood ( times which clearly has a pole of order 1 at - write the first as a Taylor's series about and divide by getting as Laurent series having -1 as the only negative power.Also is there an easy way to classify the singularities? I know they are simple poles but im not sure how to prove it...