Полиноми с корени в четири специално разположени колинеарни точки
Polynomials with Roots in Four Specially Located Collinear Points
Author(s): Sava Grozdev, Veselin NenkovSubject(s): Education, School education, Vocational Education, Adult Education, Higher Education , History of Education
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: polynomial; derivative of a polynomial; roots of polynomials; ellipse
Summary/Abstract: A geometric relation is derived between the roots of polynomials with roots in four specially located points on a line and the roots of the corresponding derivatives. More precisely, three of the points under consideration are arbitrary while the fourth one depends on them in a special way. Some polynomials of a real variable and with real coefficients are considered as an application.
Journal: Математика и информатика
- Issue Year: 63/2020
- Issue No: 4
- Page Range: 431-440
- Page Count: 10
- Language: Bulgarian
- Content File-PDF