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- Characteristic polynomial
This online calculator calculates coefficients of characteristic polynomial of a square matrix using Faddeev–LeVerrier algorithm

- Eigenvalue calculator
This online calculator computes the eigenvalues of a square matrix up to 4th degree by solving the characteristic equation.

- The discriminant of the quadratic polynomial
This online calculator calculates the discriminant of the quadratic polynomial using well-known formula and describes some properties of the roots

- Polynomial Greatest Common Divisor
The calculator gives the greatest common divisor (GCD) of two input polynomials.

- Polynomial root isolation
The calculators isolates real roots of the input univariate polynomial using Sturm and VAS-CF methods.

- Polynomial roots
The calculator solves polynomial roots of any degree. For small degree polynomials analytic methods are applied, for 5-degree or higher the polynomial roots are estimated by numerical method.

- Squarefree polynomial factorization
The calculator extracts square factors from the input polynomial.