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Polynomials with Multiple Roots in the Vertices of a Parallelogram
Author(s): Sava Grozdev, Veselin NenkovSubject(s): Social Sciences, Education, School education, Vocational Education, Adult Education, Higher Education , Inclusive Education / Inclusion
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: polynomial; roots of polynomial; parallelogram; rhombus; rectangle; ellipse; focus; centre
Summary/Abstract: A geometric relation is derived between the roots of polynomials of complex variable with multiple roots in the vertices of a parallelogram and the roots of their derivatives. As an application some polynomials of real variable with real coefficients are considered.
Journal: Математика и информатика
- Issue Year: 62/2019
- Issue No: 4
- Page Range: 435-443
- Page Count: 9
- Language: Bulgarian
- Content File-PDF