On the Polynomials with Roots in the Vertices of a Class of Convex Quadrilaterals Cover Image
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Относно полиномите с корени във върховете на един клас изпъкнали четириъгълници
On the Polynomials with Roots in the Vertices of a Class of Convex Quadrilaterals

Author(s): Sava Grozdev, Veselin Nenkov
Subject(s): Social Sciences, 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 a polynomial; polynomial roots; convex quadrilateral; ellipse; focus

Summary/Abstract: A geometrical relation is derived for the roots of polynomials of complex variable with multiple roots in the vertices of a convex quadrilateral and the roots of the corresponding derivatives. As an application some polynomials of real variable and with real coefficients are considered.

  • Issue Year: 63/2020
  • Issue No: 3
  • Page Range: 324-329
  • Page Count: 6
  • Language: Bulgarian