一元多项式因式分解的一种方法  

A Method of Factorization of Univariate Polynomials

作　　者：高来志 Gao Laizhi(Luoyang Environmental Protection Design and Research Institute,Luoyang 471000,China)

机构地区：[1]洛阳市环境保护设计研究所,河南洛阳471000

出　　处：《洛阳师范学院学报》2022年第2期17-21,30,共6页Journal of Luoyang Normal University

摘　　要：本文给出一元多项式因式分解的一种方法,该方法能够判别一元有理系数多项式、一元实系数多项式、一元复系数多项式在不做开方运算条件下是否可分解;能把可分解的一元有理系数多项式、一元实系数多项式、一元复系数多项式分解成f(x)=g_(1)(x)^(r_(1))g_(2)(x)^(r_(2))…g_(l)(x)^(rl)的分解式.This paper presents a method of factorization of univariate polynomials,which can distinguish whether univariate rational coefficient polynomials,univariate real coefficient polynomials and univariate complex coefficient polynomials are decomposable without square root operation,and can decompose reducible univariate rational coefficient polynomials,univariate real coefficient polynomials and univariate complex coefficient polynomials into factorization of f(x)=g_(1)(x)^(r_(1))g_(2)(x)^(r_(2))…g_(l)(x)^(rl).

关 键 词：因式分解 一元多项式 结式 

分 类 号：O241.6[理学—计算数学]