Polynomials of Fourth Degree with Roots in the Vertices of a Parallelogram Cover Image
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Polynomials of Fourth Degree with Roots in the Vertices of a Parallelogram

Author(s): Sava Grozdev, Veselin Nenkov
Subject(s): Social Sciences, Education, Library and Information Science, Education and training, 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: It is deduced a geometric relation between the roots of a complex polynomial of fourth degree with a complex variable and the roots of its derivatives. Some applications of the obtained results are presented considering real polynomials with a real variable. Finally, a computer realization of the real polynomials is described.

  • Issue Year: 61/2018
  • Issue No: 3
  • Page Range: 283-293
  • Page Count: 11
  • Language: Bulgarian