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2006•Unpublished venueRequires access

Some Properties of Polynomial with Integer Coefficient

XI Xiao-zhong

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Abstract

The paper discusses some properties of polynomial with integer coefficient.Example,sufficient of polynomial of degree n is irreducible polynomial of rational number field;sufficient of polynomial of degree 3 if irreducible polynomial of rational number field;sufficient of polynomials with integer coefficient is not integer root and is not repeated complex root etc.These properties are of great use application of polynomial.

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What this paper is about

The paper discusses some properties of polynomial with integer coefficient.Example,sufficient of polynomial of degree n is irreducible polynomial of rational number field;sufficient of polynomial of degree 3 if irreducible polynomial of rational number field;sufficient of polynomials with integer coefficient is not integer root and is not repeated complex root etc.These properties are of great use application of polynomial.

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Available abstract

The paper discusses some properties of polynomial with integer coefficient.Example,sufficient of polynomial of degree n is irreducible polynomial of rational number field;sufficient of polynomial of degree 3 if irreducible polynomial of rational number field;sufficient of polynomials with integer coefficient is not integer root and is not repeated complex root etc.These properties are of great use application of polynomial.

Key concepts: Irreducible polynomial, Mathematics, Reciprocal polynomial, Polynomial, Integer (computer science), Matrix polynomial, Minimal polynomial (linear algebra), Square-free polynomial

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