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The Fundamental Theorem of Algebra!!

The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. Equivalently, the field of complex numbers is algebraically closed.

Sometimes, this theorem is stated as: every non-zero single-variable polynomial, with complex coefficients, has exactly as many complex roots as its degree, if each root is counted up to its multiplicity

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Recent Math PhD now doing a post-doctorate at UC Riverside.

Kuei-Nuan Lin