Algebra

2601 Submissions

[2] viXra:2601.0090 [pdf] submitted on 2026-01-22 00:04:28

Deriving Solutions to Higher Order Polynomials (With a Modern Afterword)

Authors: Victor Wang
Comments: 19 Pages. (Note by viXra Admin: This paper is written by a HS Student and may fall outside the scholarly scope/norm) )

Through a high school student’s lens, we investigate the classical problem of relating a polynomial’s roots to its coefficients and demonstrate how to derive the solution to the cubic and quartic using radicals, as well as the trigonometric solution to the real-rooted cubic. In the afterword, we discuss the history of the problem, as well as the history of how this work came to be.
Category: Algebra

[1] viXra:2601.0012 [pdf] submitted on 2026-01-03 23:44:20

Numbers Represented by (1st,2nd,3rd & 4th) Degree

Authors: Oliver Couto
Comments: 5 Pages.

This paper has solution for equation with degree’s (1,2,3 & 4). The author has also shown solution for equation for degree (1 & 7). He have also provided an identity where a fourth power is represented by (first, second & third powers).
Category: Algebra