Polynomial Root Finder
Solve quadratic, cubic, quartic, and quintic equations, view real or complex roots, and understand how your coefficients affect the curve.
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How polynomial roots are computed
Quadratic roots are found with the discriminant and quadratic formula. The discriminant tells you if roots are real or complex.
Cubic equations are reduced to a depressed cubic before applying standard formulas that can yield one or three real roots.
Quartic and quintic equations are solved numerically. The calculator uses iterative methods to approximate all roots, including complex pairs.
Roots represent the x-intercepts of the polynomial. Use higher precision if you need more decimal detail in the results.