Polynomials with Roots in Four Specially Located Collinear Points Cover Image
  • Price 3.90 €

Полиноми с корени в четири специално разположени колинеарни точки
Polynomials with Roots in Four Specially Located Collinear Points

Author(s): Sava Grozdev, Veselin Nenkov
Subject(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.

  • Issue Year: 63/2020
  • Issue No: 4
  • Page Range: 431-440
  • Page Count: 10
  • Language: Bulgarian