(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....) |
|||
| Line 1: | Line 1: | ||
| − | |||
The Fundamental Theorem of Algebra!! | The Fundamental Theorem of Algebra!! | ||
| Line 5: | Line 4: | ||
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 | ||
| + | |||
| + | |||
| + | [september 9] | ||
Revision as of 16:58, 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
[september 9]
