For example, when graphed, the roots of some polynomials fall exactly on the vertices of regular polygons — they stand apart by an exact geometric length. Mathematicians are interested in finding ...

Mathematicians have devised a new way to solve higher-order polynomial equations, ushering in a 'dramatic revision of a basic chapter in algebra'.

Polynomials remained there for another two centuries, with larger examples stumping experts until in 1832.