(New page: 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....) |
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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 | 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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Latest revision as of 18:01, 9 September 2008
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
