Another term you could use would be "ex-offender." A friend of mine works with recently released men and this is the term he uses.

What would you call a former criminal who has been released from prison?
We are given two polynomials p, q with deg(q)>1+deg(p). Show that the sum of the residue at all poles of the rational function p/q is 0. 

How do I go about solving this?
