๐Polynomial Root Finder
Find all real and complex roots of any polynomial, with a graph and verification.
Free Polynomial Root Finder
Our free polynomial root finder computes every root โ real and complex โ of a polynomial equation from its coefficients, using the Durand-Kerner iterative method. It works for any degree, not just quadratics and cubics, and shows each root's real and imaginary parts along with a verification check confirming the polynomial evaluates to (approximately) zero there.
Enter coefficients highest-degree-first, separated by commas โ for example 1, -6, 11, -6 for xยณ โ 6xยฒ + 11x โ 6. Real roots are plotted on a graph of the polynomial so you can see exactly where the curve crosses the x-axis, while complex roots (which don't appear on the real graph) are listed alongside them as conjugate pairs.
Built for algebra and precalculus students solving polynomial equations, and for anyone who needs a fast, reliable check of factored or numerically-approximated roots. No sign-up, no downloads โ just instant results.