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Polynomials

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

Abstract

Up until now we have viewed polynomials as functions of a real or complex variable x. This viewpoint is important for the fundamental theorem of algebra (Section 3.8), for example. Quite a different insight is obtained if, as in high-school algebra, we refrain from giving any interpretation to the letter x, and simply study the formal behavior of polynomials under +, − and ×.

Keywords

Unique Factorisation Factor Theorem Irreducible Polynomial Monic Polynomial Congruence Class 
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 1994

Authors and Affiliations

  • John Stillwell
    • 1
  1. 1.Department of MathematicsMonash UniversityClaytonAustralia

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