The Fundamental Theorem of Algebra

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The Fundamental Theorem of Algebra

We now present one of the most classical theorems in the history of mathematics, which admits several proofs, some of which the reader might already be familiar with.

Theorem 6.12 (Fundamental Theorem of Algebra) Every polynomial with complex coefficients has a root.

$\begin{proof}We shall assume the converse and find a contradiction. Let $P(z)=\s... ...s equal to $n$\space and hence a contradiction. The theorem follows. \end{proof}$

Ran Levi
2000-03-13