1. The problem statement, all variables and given/known data Show that for a polynomial of degree n, P(z), that for all z with |z| sufficiently large, there are positive constants c,d, s.t. c|z|^n < |P(z)| < d|z|^n 2. Relevant equations 3. The attempt at a solution Assume it is true for n-1. p(z)=az^n+q(z) Then for z with sufficiently large |z|, there exist e,f s.t. e|z|^(n-1) < |q(z)| < f|z|^(n-1). No idea how to continue.