List of polynomial topics

This is a list of polynomial topics, by Wikipedia page.

Table of contents

1 Basics 2 Theory of equations 3 Calculus with polynomials 4 Polynomial interpolation 5 Weierstrass approximation theorem 6 Linear algebra 7 Named polynomials 8 Polynomial sequences 9 Knot polynomials

Basics

• Polynomial
• Coefficient
• Monomial
• Polynomial long division
• Rational function
• Partial fraction
  • Partial fraction decomposition over R
• Symmetric function

Theory of equations

• Root (mathematics)
• Radical (mathematics)
  • Square root
  • Cube root
  • Root of unity
  • Constructible number
• Horner scheme
• Rational root theorem
• Gauss lemma
• Irreducible polynomial
  • Eisenstein's criterion
• Quadratic equation
  • Completing the square
  • Quadratic formula
  • Quadratic function
• Cubic function
• Quartic function
• Quintic equation
  • Abel-Ruffini theorem
  • Quintic function
• Fundamental Theorem of Algebra
• Hurwitz polynomial
• Galois theory
• Discriminant of a polynomial
  • Resultant
• Elimination theory
  • Grobner basis

Calculus with polynomials

Polynomial interpolation

• Lagrange polynomial
• Runge's phenomenon

Weierstrass approximation theorem

• Bernstein polynomial

Linear algebra

• Characteristic polynomial
• Minimal polynomial

Named polynomials

• Bernoulli polynomials
• Ehrhart polynomial
• Hermite polynomials
• Laguerre polynomials
• Legendre polynomials
  • Spherical harmonic
• Newton polynomial

Polynomial sequences

• Orthogonal polynomials
• Sheffer sequence
• Binomial type
• Chebyshev polynomials
• Touchard polynomials
• Laguerre polynomials
• Legendre polynomials
• Hermite polynomials

Knot polynomials