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Generating functions

Homogeneous polynomials

Orthogonal polynomials

Rational functions

Symmetric functions



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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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Addition and Subtraction of Polynomials

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55 news items


Fri, 18 Apr 2014 11:11:15 -0700

Hyperbolic homogeneous equations on the chalkboard in Professor Dinakar Ramakrishnan's office at Caltech. Credit: Cynthia Eller. Cutting-edge mathematics today, at least to the uninitiated, often sounds as if it bears no relation to the arithmetic we ...

Washington Post (blog)

Washington Post (blog)
Wed, 16 Apr 2014 12:29:53 -0700

That question, No. 17, came from the “passport to advanced math” portion of the sample questions the College Board released Wednesday, and it focused on polynomial functions and algebraic representations of polynomials. Here's that question: Question17.

El Estándar

El Estándar
Mon, 14 Apr 2014 13:26:15 -0700

As I reflect back upon my high school graduating class, I am certain that every graduate marching across the stage had been forced to spend countless hours, whether productive or futile, working to factor polynomials, calculate the length of a ...

Current in Carmel

Current in Carmel
Tue, 01 Apr 2014 08:00:00 -0700

Carmel High School senior Yushi Homma was a finalist in the national Intel Science Talent Search for his original research into polynomials and their coefficients. (Submitted photo). By Amanda Foust. Carmel High School senior Yushi Homma had the honor ...

Colorado College News

Colorado College News
Wed, 09 Apr 2014 09:38:58 -0700

Gautam Webb, a math major from Golden, Colo., conducted research on avalanche polynomials in the abelian sandpile model last summer at the PURE Math Research Experience for Undergraduates in Hilo, Hawaii. He plans on attending a second REU this ...

Bates Magazine

Bates Magazine
Fri, 04 Apr 2014 10:33:46 -0700

In turn, these cheerfully befuddled visitors work earnestly to grasp student insights into chemotaxis, mortality salience or the Arab Spring in Tunisia. Somehow, it always works, and the scene at Mount David Summit is always happy, if trippy. Visitors ...


Tue, 15 Apr 2014 00:47:45 -0700

Distortion quality has been significantly improved by modelling the distortion function using spline curves rather than polynomials. The distortion is also tailored to individual users based on profile settings specified in the Oculus Configuration ...

Scientific American (blog)

Scientific American (blog)
Tue, 01 Apr 2014 14:25:37 -0700

The mathematician J.E. Littlewood asked if seven infinite cigarettes could be arranged so that each touches all the others. This question was answered at G4G. Sándor Bozóki, Tsung-Lin Lee and Lajos Rónyai set up a system of 20 polynomials in 20 ...

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