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Polynomials with Multiple Roots in the Vertices of a Triangle
Author(s): Sava Grozdev, Veselin NenkovSubject(s): Social Sciences, Education, Library and Information Science, Education and training, Higher Education , History of Education
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: polynomial; root; triangle; ellipse; focus
Summary/Abstract: It is considered a geometric relation between the roots of a polynomial and the roots of its derivative, when all roots of the polynomial are in three non-collinear points. This relation is realized through the focuses of a special ellipse, which is determined by the multiplicities of the polynomial roots.
Journal: Математика и информатика
- Issue Year: 61/2018
- Issue No: 4
- Page Range: 352-359
- Page Count: 8
- Language: Bulgarian
- Content File-PDF