Journals Information
Universal Journal of Applied Mathematics Vol. 1(4), pp. 207 - 211
DOI: 10.13189/ujam.2013.010401
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Dynamic Geometry of Cubic Polynomial
Gagik Aghekyan 1, Karen Sahakyan 2,*
1 Department of Applied Mathematics and Computer Science of Russian-Armenian University, Yerevan, Armenia
2 Department of Mathematics and Mechanics of Yerevan State University, Yerevan, Armenia
ABSTRACT
In the paper we consider the dynamic behavior of the critical points of some cubic polynomials, with the motion of one of the roots of the polynomial along a given trajectory. Some dynamic property of polynomials is investigated. The statements about traces of critical points of some polynomials are proved. The equations of curves, on which critical points move, are obtained.
KEYWORDS
Geometry of Polynomials, Zeros of Polynomials, Critical Points
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Gagik Aghekyan , Karen Sahakyan , "Dynamic Geometry of Cubic Polynomial," Universal Journal of Applied Mathematics, Vol. 1, No. 4, pp. 207 - 211, 2013. DOI: 10.13189/ujam.2013.010401.
(b). APA Format:
Gagik Aghekyan , Karen Sahakyan (2013). Dynamic Geometry of Cubic Polynomial. Universal Journal of Applied Mathematics, 1(4), 207 - 211. DOI: 10.13189/ujam.2013.010401.