摘要
着力推广Eisenstein判别法,得到有关整系数多项式不可约的几个新的判别法,并应用这些新的判别法有效地判定一些不能用Eisenstein判别法判定的有理数域上的不可约多项式,及其有理根的存在性.
Some new discrimination methods of the irreducibility of the integral coefficient polynomial are obtained by extending the Eisenstein＇s criterion.They effectively identify the irreducibility and existence of rational root of some integral coefficient polynomials in the rational field,which can not use the Eisenstein＇s discrimination method to test the irreducibility and existence of rational root.
出处
《数学的实践与认识》
北大核心
2015年第19期285-292,共8页
Mathematics in Practice and Theory
基金
贵州省科技厅资助项目(2010GZ56335)
黔科合丁字[2010]2148号
凯里学院重点学科建设项目(KZD2014004)
关键词
整系数多项式
不可约多项式
有理根
判别法
integral coefficient polynomial
irreducible polynomial
rational root
discrimination
