List of Polynomial Topics - Theory of Equations

Theory of Equations

  • Polynomial family
    • Quadratic function
    • Cubic function
    • Quartic function
    • Quintic function
  • Completing the square
  • Abel–Ruffini theorem
  • Bring radical
  • Binomial theorem
  • Blossom (functional)
  • Root of a function
  • nth root (radical)
    • Surd
    • Square root
    • Methods of computing square roots
    • Cube root
    • Root of unity
    • Constructible number
    • Complex conjugate root theorem
  • Algebraic element
  • Horner scheme
  • Rational root theorem
  • Gauss's lemma (polynomial)
  • Irreducible polynomial
    • Eisenstein's criterion
    • Primitive polynomial
  • Fundamental theorem of algebra
  • Hurwitz polynomial
  • Tschirnhaus transformation
  • Galois theory
  • Discriminant of a polynomial
    • Resultant
  • Elimination theory
    • Gröbner basis
    • Regular chain
    • Triangular decomposition
  • Sturm's theorem
  • Descartes' rule of signs

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