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Generating functions

Homogeneous polynomials

Orthogonal polynomials

Rational functions

Series expansions

Symmetric functions



Applied sciences






















The main article for this category is Polynomial.


Generating functions

Homogeneous polynomials

Orthogonal polynomials

Rational functions

Series expansions

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's theorem (polynomials)

Bernstein–Sato polynomial

Binomial (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

Cyclotomic polynomial

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)

Gauss–Lucas theorem

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

Octic equation

Padovan polynomials

Permutation polynomial

Peters polynomials

Pidduck polynomials

Pincherle polynomials

Polylogarithmic function


Polynomial Wigner–Ville distribution

Polynomial arithmetic

Polynomial decomposition

Polynomial expansion

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

Romanovski polynomials

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

Stirling polynomials

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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680 news items

EurekAlert (press release)
Mon, 30 Nov 2015 10:56:15 -0800

A central notion is that of an algebraic variety, which is the solution set of a collection of polynomials. That solution set can be thought of as a geometric object, and the main motivation is to understand how the algebraic properties of the ...

Bolivar Herald-Free Press (subscription)

Bolivar Herald-Free Press (subscription)
Fri, 27 Nov 2015 18:15:00 -0800

Smith's talk, “Average Intensity of the Distribution of Complex Zeros of a Class of Random Polynomials,” featured results from his Research Experience for Undergraduates in mathematics this past summer, during which he spent eight weeks working with Dr.

New York Times (blog)

New York Times (blog)
Mon, 16 Nov 2015 12:21:44 -0800

Need help doing arithmetic with polynomials? Click on the subject and you'll be taken to a digital blackboard where a helpful voice guides you through various problems. The website also provides help in science, computer programming, history, art ...
Washington Post
Tue, 17 Nov 2015 01:56:15 -0800

However, I don't believe operations on nonlinear polynomials, factoring and solving quadratic equations, simplifying complicated exponent expressions, and solving radical and rational equations are vital in order to master the aforementioned skills ...

Science /AAAS

Science /AAAS
Tue, 10 Nov 2015 15:01:53 -0800

The number of computational steps in that calculation grows relatively slowly with the number of digits in the number. Generally, it grows with the number of digits, n, raised to a fixed power—something akin to n2. Expressions like that are called ...

Washington Post

Washington Post
Tue, 03 Nov 2015 11:36:51 -0800

You will immediately associate these entries with school — factoring polynomials, memorizing the definition of mitosis, past participles, conjugating French verbs, facts about the Mesopotamians. And on and on. Things important in school, but never ...

Belleville News-Democrat (blog)

Belleville News-Democrat (blog)
Tue, 10 Nov 2015 10:48:37 -0800

A: Boy, I'd love to know what prompted this question. I would think most people run from their final high school algebra class, crying with joy because they'll never again have to think about prime numbers, polynomials and quadratic equations. But ...

Pasadena Now

Pasadena Now
Sun, 15 Nov 2015 14:33:38 -0800

He has also made fundamental contributions to the theory of orthogonal polynomials and their asymptotics. “Barry Simon is a powerhouse in mathematical physics and has had an outstanding career which this award attests to,” says Vladimir Markovic, the ...

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