About the Polynomial Root Finder

A tool for finding every real and complex root of a polynomial equation.

What it is

The Polynomial Root Finder takes a polynomial's coefficients and computes all of its roots โ€” real and complex โ€” using the Durand-Kerner iterative method, which refines every root estimate simultaneously rather than finding and removing one root at a time. Results are displayed as a labeled list alongside a graph highlighting where the curve crosses the x-axis.

Features

Any degree up to 8

Handles quadratics, cubics, quartics, and higher-degree polynomials.

Real and complex roots

Every root is found and labeled, including conjugate complex pairs.

Live graph

Real roots are plotted where the polynomial curve crosses the x-axis.

Quick examples

One-click sample polynomials to see how the tool works.

Ready to use it?

Free, no sign-up required.

Open the Polynomial Root Finder