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The Fundamental Theorem of Algebra

  • Lindsay N. Childs
Chapter
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

We have seen that if F is a field, every nonconstant polynomial in F[x] factors uniquely (up to the order of the factors) into the product of irreducible polynomials. Irreducible polynomials relate to all polynomials in the same way that primes do to all natural numbers. Thus one naturally asks: Which polynomials are irreducible? and How does one factor a given polynomial into a product of irreducible polynomials?

Keywords

Rational Function Complex Number Real Root Fundamental Theorem Partial Fraction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Lindsay N. Childs
    • 1
  1. 1.Department of MathematicsSUNY at AlbanyAlbanyUSA

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