Polynomial Roots Calculator

Enter coefficients for a polynomial up to degree four to compute all real and complex roots.

Mathematical tool for education; verify results for critical applications.

Examples

  • x² - 5 = 0 ⇒ 2.2361, -2.2361
  • x⁴ + 1 = 0 ⇒ 0.7071+0.7071i, -0.7071+0.7071i, -0.7071-0.7071i, 0.7071-0.7071i

FAQ

What if the leading coefficient is zero?

The calculator automatically reduces the polynomial degree.

Are complex roots included?

Yes, complex roots are shown with an i to denote the imaginary part.

How precise are the results?

Roots are approximated to four decimal places.

Additional Information

  • Handles polynomials from linear up to quartic degree.
  • Outputs roots separated by commas; complex numbers include the i suffix.