Original scientific paper

On the Multiple Roots of the 4th Degree Polynomial

Radimir Viher ; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia

Abstract

In this article we investigate the connection between the multiple roots of the 4th degree polinomial P_4(x) and its Descartes’s cubic resolvent P_3(x). The multiple roots of P_4(x) are classified according to the position of all roots of the corresponding P_3(x). Seven types are obtained.

Keywords

4th degree polynomial; Descartes’s cubic resolvent; types of roots

Hrčak ID:

19906

URI

https://hrcak.srce.hr/19906

Publication date:

14.2.2008.

Article data in other languages: croatian

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