Polynomial Root Finder

Find all real and complex roots of a polynomial of any degree from its coefficients (cubic, quartic, quintic and higher).

Results

Polynomial—
Roots—
Degree—

How to use the Polynomial Root Finder

  1. Enter or select: Coefficients (highest degree first).
  2. The results (Polynomial, Roots, Degree) are calculated instantly as you type.
  3. Use “Copy link” to share the calculation with the same input values.

Formula

  • aₙxⁿ + … + a₁x + a₀ = 0
  • Durand–Kerner simultaneous iteration

About this tool

Enter the coefficients separated by spaces or commas, including zeros for missing powers. Roots are found numerically and are accurate to about 10 significant digits for well-conditioned polynomials.