Expanding Polynomials with Regular Polygons

Authors: Timothy W. Jones

Expanding the root form of a polynomial for large numbers of roots can be complicated. Such polynomials can be used to prove the irrationality of powers of pi, so a technique for arriving at expanded forms is needed. We show here how roots of polynomials can generate regular polygons whose vertices considered as roots form known expanded polynomials. The product of these polynomials can be simple enough to yield the desired expanded form.

Comments: 7 Pages.

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[v1] 2019-04-21 08:23:26

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