# Solving Polynomials

A well known (if not by name) theorem is the Abel–Ruffini theorem, which states that there is no algebraic expression for the roots of polynomials with degree higher than 4.

A not-so-well-known fact is that for any polynomial $$P(x)$$, it is possible to find (with exact arithmetic) a set of ranges each containing exactly one root of $$P(x)$$. One such algorithm is due to James Victor Uspensky in 1948. Continue reading Solving Polynomials