多项式函数的次数与极值点的关系  

The Relation Between Degree and Extreme Point of a Polynomial Function

作　　者：毛克宁 

机构地区：[1]肇庆科技职业技术学院数控系,广东肇庆526020

出　　处：《大学数学》2009年第2期144-146,共3页College Mathematics

摘　　要：本文给出并严格证明了"一元实系数偶数(≥2)次多项式函数有极值"这一定理,并对多项式函数的次数及最高次项系数的符号与极值点的关系进行了归纳.This paper gives and proves the theorem that ＇A polynomial function of one variable and even （≥2） degree of real coefficient has a extremum＇, and gives a induction of relations with the degree, symbol of leading coefficient, and extreme point of a polynomial function.

关 键 词：多项式函数 次数 极值点 

分 类 号：O172[理学—数学]