摘 要本文主要考虑多项式的正根、负根的个数问题,通过介绍多项式的相关定理及符号原则,并举出实例,总结整理多项式的根的分布问题,把多项式的根的分布问题进行细致归纳. 关键字:多项式;存在性;二分法;根I ABSTRACTThis paper mainly considers the number of positive and negative roots of polynomials . By introducing the relatrd theorems and sign principles of polynomials,and gives examples.Summarizes and sorts out the root distribution of polynomials,and sums up the root distribution of polynomials in detail.Keywords:polynomial;exist;dichotomy;rootII 目录摘 要.................................................................................................................IABSTRACT...........................................................................................................II第 1 章 绪论....................................................................................................1第 2 章 多项式根的存在性.........................................................................22.1相关定理介绍..................................................................................22.2例题总结..........................................................................................2第 3 章 多项式的根的确定性....................................................................43.1奇次多项式的根的确定性...............................................................43.2偶次多项式的根的确定性...............................................................4第 4 章 笛卡尔符号原则.............................................................................94.1多项式的正根................................................................................104.2多项式的负根................................................................................10第 5 章 总结..................................................................................................12参考文献......................................