fundamental theorem of algebra


Let fC[Z] be a non-constant polynomialMathworldPlanetmathPlanetmathPlanetmath. Then there is a zC with f(z)=0.

In other , is algebraically closedMathworldPlanetmath.

As a corollary, a non-constant polynomial in [Z] factors completely into linear factors.

Title fundamental theorem of algebraMathworldPlanetmath
Canonical name FundamentalTheoremOfAlgebra
Date of creation 2013-03-22 12:18:56
Last modified on 2013-03-22 12:18:56
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 14
Author Mathprof (13753)
Entry type Theorem
Classification msc 12D99
Classification msc 30A99
Related topic ComplexNumber
Related topic Complex
Related topic TopicEntryOnComplexAnalysis
Related topic ZeroesOfDerivativeOfComplexPolynomial