1)Prof. Sava Grozdev, DSc., 2)Dr. Veselin Nenkov, Assoc. Prof.
1)University of Finance, Business Entrepreneurship – Sofia, Bulgaria
2)“Nikola Vaptsarov” Naval Academy – Varna, Bulgaria
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.
Keywords: polynomial; roots of polynomial; parallelogram; rhombus; rectangle; ellipse; focus; centre
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