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Fundamental Theorem of AlgebraEvery Polynomial equation having Complex Coefficients and degree has at least one Gauß. Itis equivalent to the statement that a Polynomial of degree has values of (some of them possiblydegenerate) for which . An example of a Polynomial with a single Root of multiplicity is , which has as a Root of multiplicity 2. See also Degenerate, Polynomial References
Courant, R. and Robbins, H. ``The Fundamental Theorem of Algebra.'' §2.5.4 in What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, pp. 101-103, 1996.
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