%0 Journal Article
%T A short proof of d'Alemberts theorem
%A Tord Sj£żdin
%J Mathematics
%D 2013
%I arXiv
%X A classical theorem of d'Alembert states that if a polynomial P(x) with real coefficients has a non-real root x=a+ib, then it also has a root x=a-ib. We give a short and elementary inductive proof that avoids any properties of the complex conjugation operator.
%U http://arxiv.org/abs/1304.4261v1