Algorithms for Factorization of Polynomials of Low Degree

Abstract

For polynomials of the third degree of a special type, expansions into linear factors are found. Various methods of factorization of fourth-degree polynomials of general and particular types are proposed. For polynomials of the sixth degree of a special kind, representations are given in the form of a product of polynomials of lower degrees. Special attention is paid to representations through square trinomials. The decomposition of the generalized reciprocal polynomial of the sixth degree into square trinomials is given.