一元多项式问题中的构造性证明方法  

The constructive proof method in the problem of polynomial of one indeterminate

作　　者：严文利[1] YAN Wen-li(School of Mathematics and Physics,Huaiyin Institute of Technology,Huaian 223003,China)

机构地区：[1]淮阴工学院数理学院

出　　处：《高师理科学刊》2019年第12期52-54,57,共4页Journal of Science of Teachers＇College and University

摘　　要：多项式理论是高等代数的重要内容之一.针对一元多项式中的2个多项式互素和整除、多项式的根、多项式可约和不可约的判断等内容,考虑构造性证明的方法,通过具体实例说明构造的思想.Theory of polynomial is an important part of advanced algebra.Constructive proof method to the polynomial of one indeterminate is considered from several aspects such as relatively-prime,exact division between two polynomials,the roots of the polynomial and the judgement of the reducible polynomials and the irreducible polynomials.And also the idea of the construction is shown by some concrete examples.

关 键 词：高等代数 一元多项式 不可约多项式 构造性证明 

分 类 号：O151[理学—数学] G642.0[理学—基础数学]