整系数多项式有理根求解方法的改进  

The Improved Method of Searching Rational Root of Integral Coefficient Polynomial

作　　者：滕旭 

机构地区：[1]云南大学旅游文化学院信息科学与技术系,云南丽江674100

出　　处：《玉溪师范学院学报》2017年第12期8-14,共7页Journal of Yuxi Normal University

摘　　要：整系数多项式的有理根的经典求法比较繁琐,多数研究主要关注有理根存在的必要条件与充分条件,在此基础上进行不同程度的补充,并对求解方法做各种改进,但这些研究都不够全面.故此,基于现有文献资料中的结论进行系统的总结与整理,对整系数多项式有理根的求解问题进行分类,简化了求解过程.The classical method of searching rational root of integral coefficients polynomial is relatively complicated.Most researches focus on the necessary conditions and sufficient conditions for the existence of rational roots.Although various improvements have been made to the solving method based on these researches,they are not comprehensive enough.Therefore,in this paper,the author makes a classification of the problem of working out rational root of integral coefficient polynomial after sorting out and summarizing the conclusions in the existing literature and simplifies the solving process.

关 键 词：整系数多项式 有理根 方程求解 

分 类 号：O122.4[理学—数学]