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

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

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. |

The discriminant This online calculator calculates the discriminant of the quadratic polynomial, as well as higher degree polynomials |

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 the fourth degree by solving the characteristic equation. |

Eigenvector calculator This online calculator computes the eigenvectors of a square matrix up to the 4th degree. |

nth root algorithm This online calculator implements nth root algorithm to find the principal nth root of a positive real number. |

FOIL Calculator This online calculator shows steps to multiply two binomials using the FOIL method (or the FOIL mnemonic) |

Reduced Row Echelon Form (RREF) of a matrix calculator This online calculator reduces a given matrix to a Reduced Row Echelon Form (rref) or row canonical form, and shows the process step-by-step |