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
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