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Generating functions

Homogeneous polynomials

Orthogonal polynomials

Rational functions

Symmetric functions



Applied sciences






















The main article for this category is Polynomial.


Generating functions

Homogeneous polynomials

Orthogonal polynomials

Rational functions

Symmetric functions


Abel polynomials

Abel–Ruffini theorem

Actuarial polynomials

Additive polynomial

Alexander polynomial

Algebraic equation

Algebraic set

All one polynomial

Alternating polynomial

Angelescu polynomials

Appell sequence

Bell polynomials

Bernoulli polynomials

Bernstein polynomial

Bernstein–Sato polynomial

Binomial type

Boas–Buck polynomials

Bollobás–Riordan polynomial

Bombieri norm

Boole polynomials

Bracket polynomial

Bring radical

Bézout matrix

Caloric polynomial

Casus irreducibilis

Cavalieri's quadrature formula

Characteristic polynomial


Coefficient diagram method

Cohn's irreducibility criterion

Complex conjugate root theorem

Complex quadratic polynomial

Constant function

Constant term

Content (algebra)

Continuant (mathematics)

Cubic function

Degree of a polynomial

Delta operator

Denisyuk polynomials

Derivation of the Routh array

Descartes' rule of signs

Dickson polynomial

Difference polynomials


Divided power structure

Division polynomials

Ehrhart polynomial

Eisenstein's criterion

Equally spaced polynomial

Equioscillation theorem

Exponential polynomial

External ray

Faber polynomials

Factor theorem

Factorization of polynomials

Factorization of polynomials over finite fields

Fekete polynomial

Fibonacci polynomials

Gauss's lemma (polynomial)

Generalized Appell polynomials

Gould polynomials

Grace–Walsh–Szegő theorem

HOMFLY polynomial

Harmonic polynomial

Height of a polynomial

Heine–Stieltjes polynomials

Hermite polynomials

Hilbert's Nullstellensatz

Hilbert's irreducibility theorem

Hilbert's thirteenth problem

Horner's method

Hudde's rules

Humbert polynomials

Hurwitz polynomial

Integer-valued polynomial

Invariant polynomial

Irreducible polynomial

Jacobian conjecture

Jones polynomial

Kauffman polynomial

Kazhdan–Lusztig polynomial

Kharitonov region

Kharitonov's theorem

Knot polynomial

LLT polynomial

Lagrange polynomial

Lagrange's theorem (number theory)

Laguerre polynomials

Laurent polynomial

Lebesgue constant (interpolation)

Legendre polynomials

Lehmer's conjecture

Lill's method

Lindsey–Fox algorithm

Linear equation

Linear function

Linear function (calculus)

Linearised polynomial

List of polynomial topics

Littlewood polynomial

Lommel polynomial

Mahler measure

Mahler polynomial

Marden's theorem

Mason–Stothers theorem

Matrix polynomial

Maximum length sequence

Minimal polynomial (field theory)

Minimal polynomial (linear algebra)

Mittag-Leffler polynomials

Monic polynomial

Monomial basis

Monomial order

Mott polynomials

Multilinear polynomial

Multiplicative sequence

Narumi polynomials

Neumann polynomial

Neville's algorithm

Newton polynomial

Order of a polynomial

Padovan polynomials

Palindromic polynomial

Permutation polynomial

Peters polynomials

Pidduck polynomials

Pincherle polynomials

Polylogarithmic function


Polynomial arithmetic

Polynomial expansion

Polynomial expression

Polynomial greatest common divisor

Polynomial interpolation

Polynomial long division

Polynomial matrix

Polynomial remainder theorem

Polynomial representations of cyclic redundancy checks

Polynomial ring

Polynomial sequence

Primitive polynomial (field theory)

Properties of polynomial roots

Q-difference polynomial

Quadratic equation

Quadratic formula

Quadratic function

Quartic function


Quasisymmetric function

Quintic function

Radical polynomial

Rainville polynomials

Rational root theorem

Reciprocal polynomial

Regular chain

Regular semi-algebraic system


Remez algorithm

Resolvent cubic


Ring of polynomial functions

Ring of symmetric functions

Rook polynomial

Root of unity

Routh–Hurwitz stability criterion

Routh–Hurwitz theorem

Ruffini's rule

Schwartz–Zippel lemma

Secondary polynomials

Separable polynomial

Septic equation

Series expansion

Sextic equation

Shapiro polynomials

Sheffer sequence

Sister Celine's polynomials

Square-free polynomial

Stability radius

Stable polynomial

Stanley symmetric function

Sturm's theorem

Sylvester matrix

Symmetric algebra

Symmetric polynomial

Synthetic division

System of polynomial equations

Theory of equations

Tian yuan shu

Touchard polynomials

Triangular decomposition

Trigonometric polynomial


Tschirnhaus transformation

Tutte polynomial

Umbral calculus

Unimodular polynomial matrix

Vandermonde polynomial

Vieta's formulas

Wall polynomial

Wilkinson's polynomial

Wu's method of characteristic set


Original courtesy of Wikipedia: http://en.wikipedia.org/wiki/Category:Polynomials — Please support Wikipedia.
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28 news items

India New England (subscription)
Thu, 31 Jul 2014 17:22:30 -0700

The 2014 George Pólya Prize has been awarded to Nikhil Srivastava along with Adam Marcus and Daniel A. Spielman for the introduction and development of the method of interlacing polynomials, and for its use in the solution of the 50-year-olf ...


Tue, 29 Jul 2014 11:33:45 -0700

B-Splines, on the other hand, use multiple polynomials to achieve their shape, and are a generalization of multiple curves. Think of a B-Spline as a series of overlapping, or connected, curves. The regions in between each through point are called ...
Science 2.0
Sat, 12 Jul 2014 10:26:15 -0700

Part 1 required the team to prove that all of the roots for these polynomials are real numbers, and part 2 required that the three prove the roots of certain polynomials interlace, or alternate in ascending order. For example, if one polynomial has ...
Dr. Dobb's
Fri, 25 Jul 2014 04:46:26 -0700

There are at least three different ways polynomials are commonly expressed. The Wikipedia list sidesteps the issue by listing all three! And once you agree what the polynomial means, there are several other parameters you have to agree upon. To make ...
The Hindu
Sun, 27 Jul 2014 07:17:32 -0700

Algebra lovers will be pleased to hear that CDs and DVDs encode information in the form of polynomials over finite fields. Some of these techniques are based on what are known as Reed-Solomon codes, which were studied as part of pure mathematics in ...

The Atlantic

The Atlantic
Thu, 24 Jul 2014 07:15:00 -0700

Chuckles resounded from certain corners of the room. I walked over to Dan Marin, a fatherly teacher whose grey hair reflected a life devoted to fractions, polynomials, and derivatives. “What's her problem?” I asked. Dan gave me the lowdown on Bea Kaufman.
Explorer News
Thu, 17 Jul 2014 12:12:39 -0700

Math practice: Square roots, polynomials, quadrilaterals. Learning these terms and concepts can get dicey quickly. Keeping up at home is important, and sometimes requires more than just doing the day's take-home assignment. Consider supplementing ...
EurekAlert (press release)
Thu, 24 Jul 2014 07:37:30 -0700

The 18-year-old Homma has been meeting with Roeder weekly for almost two years to work on a problem involving polynomials whose coefficients are random variables (a concept not typically covered until upper level college math). While maintaining a full ...

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