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Unique Factorization

Part of the Undergraduate Texts in Mathematics book series (UTM)

In this chapter we show that every polynomial of degree >1 with coefficients in a field factors uniquely (in a sense to be defined) into a product of irreducible polynomials. To reach this result, we follow the same development as for natural numbers: the division theorem, Euclid's Algorithm and Bezout's Identity.

Keywords

Commutative Ring Unique Factorization Great Common Divisor Irreducible Polynomial Multiple Root 
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-Verlag Berlin Heidelberg 2009

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