# 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}
}```
• O. D. de Oliveira
• Published 1 November 2012
• Mathematics
• The American Mathematical Monthly
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.
1 Citations
Littlewood's proof of the fundamental theorem of algebra: a simpler version
We present an elementary proof of the fundamental theorem of algebra, following Cauchy's version but avoiding his use of circular functions. It is written in the same spirit as Littlewood's proof of

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We present a simple, differentiation-free, integrationfree, trigonometryfree, direct and elementary proof of the Fundamental Theorem of Algebra. “The final publication (in The Mathematical
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One of the simplest proofs that every nontrivial polynomial P has a zero goes as follows. Observe that |P(z)| → ∞ as |z| → ∞, so we may find an R > 0 with |P(z)| > |P(0)| for all |z| ≥ R. Since any
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