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2013•Journal of Southwest China Normal UniversityRequires access

On new Discriminating Method for Irreducibility of Integer Coefficients Polynomial and the Existence of the Rational Roots

Hong Zhang

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Abstract

In this paper,we first modify conditions of integer coefficients polynomial,then we extend the Eisenstein discrimination.The uniqueness of discrimination for reducible polynomial,the irreducibility and the existence of the rational root are studied.Finally we investigate the application of the new discriminating method.

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What this paper is about

In this paper,we first modify conditions of integer coefficients polynomial,then we extend the Eisenstein discrimination.The uniqueness of discrimination for reducible polynomial,the irreducibility and the existence of the rational root are studied.Finally we investigate the application of the new discriminating method.

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Available abstract

In this paper,we first modify conditions of integer coefficients polynomial,then we extend the Eisenstein discrimination.The uniqueness of discrimination for reducible polynomial,the irreducibility and the existence of the rational root are studied.Finally we investigate the application of the new discriminating method.

Key concepts: Irreducibility, Mathematics, Uniqueness, Polynomial, Integer (computer science), Pure mathematics, Applied mathematics, Mathematical analysis

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On new Discriminating Method for Irreducibility of Integer Coefficients Polynomial and the Existence of the Rational Roots — Research Paper | ScholarLens