Solving polynomials We solve polynomials algebraically in order to determine the roots - where a curve cuts the x -axis. A root of a polynomial function, f (x), is a value for x for which f (x) = 0.

Combinatorial polynomials, such as the Tutte, U‐ and Schubert polynomials, complement this by systematically organising information about graphs and posets into polynomial expressions.