Polynomial Equation Solver

This tool calculates the real and complex roots of polynomial equations of any degree using the Durand–Kerner or Aberth–Ehrlich methods. You can enter real or complex coefficients, compute all roots simultaneously, and review the numerical error associated with each root.

Note 1: The leading coefficient \(a_n\) must not be zero.

Note 2: For a real coefficient, enter the value in the first box and leave the second box as zero. For a complex coefficient, enter the real part in the first box and the imaginary part in the second box.

Polynomial Degree:

Polynomial Equation Solver

Coefficients

Computed Roots

Error Matrix