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fundamental theorem of algebra
Theorem 1 Let $f \in \mathbb{C}[Z]$ be a non-constant polynomial. Then there is a $z\in\mathbb{C}$ with $f(z)=0$ .
In other words, $\mathbb{C}$ is algebraically closed.
As a corollary, a non-constant polynomial in $\mathbb{C}[Z]$ factors completely into linear factors.
fundamental theorem of algebra is owned by Thomas Foregger, Matt Piatkus.
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