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多项式重根存在性的线性判别及求解
Tuple root discriminant of polynomial and solution formula of multiple real roots
【摘要】 运用线性方程组的理论和Cramer法则研究多项式根的问题,给出了n次实系数多项式重根的存在性判别定理,同时建立了n次实系数多项式实重根的求根公式。
【Abstract】 The existence of multiple roots of a polynomial is studied with theory of homogeneous linear equations and Cramer law.We give the discriminant theorem of the multiple roots of polynomial of degree n-with real coefficients and obtain formula of solution on multiple roots of polynomial of degree n-with real coefficients.
【关键词】 多项式;
重根;
实重根;
求根公式;
【Key words】 polynomial; multiple roots; multiple real roots; formula of solution;
【Key words】 polynomial; multiple roots; multiple real roots; formula of solution;
【基金】 国家特色专业(TS11496);安徽省教学研究项目(2013jyxm139)资助
- 【文献出处】 阜阳师范学院学报(自然科学版) ,Journal of Fuyang Teachers College(Natural Science) , 编辑部邮箱 ,2014年04期
- 【分类号】O174.14
- 【被引频次】2
- 【下载频次】173