Laurentiu Panaitopol and Doru Stefanescu:Polynomial Factorizations, p.69-74

Abstract:

In this paper we describe necessary conditions for the factorization of polynomials from $\Z[X]$ which can be represented as $f_1f_2+pg$, with $p$ a convenient prime number. These conditions are derived using resultants. This approach allows us to construct irreducible polynomials.

Key Words: Factorization of polynomials, irreducible polynomials.

2000 Mathematics Subject Classification: Primary: 12D05,
Secondary: 11T06.

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