INVESTIGATION OF THE SOLUBILITY BY RADICALS OF A SELECTED TRINOMIAL OF HIGHER ORDER (DEGREE 5 n 7) POLYNOMIALS USING GALOIS THEORY

dc.contributor.author	Gyam, Jeremiah, Gambo
dc.date.accessioned	2023-12-14T07:32:04Z
dc.date.available	2023-12-14T07:32:04Z
dc.date.issued	2017-06-12
dc.description	Dissertation	en_US
dc.description.abstract	This dissertation extends the results of the work of Galois and his contribution to the development of modern algebra. The fact is that polynomials of higher degree (n 5) are not solvable by radicals. However, very few at that were later discovered to be solvable by radicals. In particular, we specifically identified some special polynomials which are irreducible but can be solve by radicals. These polynomials are in trinomial form ( ).Then using the quintic, sextic, and septic polynomial as case study, we finally deduced that such type of a trinomial polynomial can be generalized and a theorem was then put forward to support our argument	en_US
dc.identifier.citation	A DISSERTATION SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, NASARAWA STATE UNIVERSITY KEFFI, IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTERS DEGREE IN MATHEMATICS	en_US
dc.identifier.uri	https://keffi.nsuk.edu.ng/handle/20.500.14448/5784
dc.language.iso	en	en_US
dc.publisher	DEPARTMENT OF MATHEMATICS, FACULTY OF NATURAL AND APPLIED SCIENCES, NASARAWA STATE UNIVERSITY KEFFI, NIGERIA	en_US
dc.title	INVESTIGATION OF THE SOLUBILITY BY RADICALS OF A SELECTED TRINOMIAL OF HIGHER ORDER (DEGREE 5 n 7) POLYNOMIALS USING GALOIS THEORY	en_US
dc.type	Thesis	en_US

Files

Now showing 1 - 1 of 1

Name:: INVESTIGATION OF THE SOLUBILITY BY RADICALS OF A SELECTED TRINOMIAL OF HIGHER ORDER (DEGREE 5≤n ≤ 7) POLYNOMIALS USING .pdf
Size:: 1020.21 KB
Format:: Adobe Portable Document Format
Description:: Dissertation

Now showing 1 - 1 of 1