The Fundamental Theorem of Algebra: From the Four Basic Operations

@article{deOliveira2012TheFT,
title={The Fundamental Theorem of Algebra: From the Four Basic Operations},
author={Oswaldo Rio Branco de Oliveira},
journal={The American Mathematical Monthly},
year={2012},
volume={119},
pages={753 - 758}
}

Abstract This paper presents an elementary and direct proof of the Fundamental Theorem of Algebra, via Weierstrass’ Theorem on Minima, that avoids the following: all root extractions, angles, non-algebraic functions, differentiation, integration, series, and arguments by induction.

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