Date of Award

May 2021

Document Type


Degree Name

Master of Science (MS)


Mathematical Sciences

Committee Member

James Coykendall

Committee Member

Kevin James

Committee Member

Sean Sather-Wagstaff


A group is called solvable if its derived series descends to the identity element. Galois discovered that a polynomial is solvable by radicals if and only if its Galois group is solvable. In 1824, Niels Abel published a paper proving the insolvability of a general quintic polynomial. In this paper, we provide two augmented strategies to solve all quintics, and discuss methods for how to make all nth degree polynomials solvable.



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