Input interpretation
polynomial
Basic definition
A mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.
Detailed definition
A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. A polynomial in one variable (i.e., a univariate polynomial) with constant coefficients is given by
a_n x^n + … + a_2 x^2 + a_1 x + a_0 .
Related topics
Abel polynomial | actuarial polynomial | Bell polynomial | Bernoulli polynomial | Bernoulli polynomial of the second kind | Bernstein polynomial | Bessel polynomial | Bézout’s theorem | binomial | Bombieri inner product | Bombieri norm | Boole polynomial | Chebyshev polynomial of the first kind | Chebyshev polynomial of the second kind | Christoffel-Darboux formula | Christoffel number | complex number | cyclotomic polynomial | Descartes’ sign rule | Durfee polynomial | Ehrhart polynomial | Euler four-square identity | Faber polynomial | Fibonacci identity | fundamental theorem of algebra | fundamental theorem of symmetric functions | Gauss-Jacobi mechanical quadrature | Gegenbauer polynomial | Gould polynomial | Gram-Schmidt orthonormalization | greatest lower bound | Hermite polynomial | Hilbert polynomial | irreducible polynomial | isobaric polynomial | isograph | Jensen polynomial | Krawtchouk polynomial | Laguerre polynomial | least upper bound | Legendre polynomial | Liouville polynomial identity | Lommel polynomial | Lukács theorem | Mahler polynomial | Meixner polynomial of the first kind | Meixner polynomial of the second kind | Mittag-Leffler polynomial | monomial | Mott polynomial | multivariate polynomial | Narumi polynomial | orthogonal polynomials | perimeter polynomial | Peters polynomial | Pidduck polynomial | Poisson-Charlier polynomial | Pollaczek polynomial | polynomial discriminant | polynomial equation | polynomial factorization | polynomial function | polynomial identity | polynomial norm | polynomial roots | power polynomial | quarter squares rule | Ramanujan 6-10-8 identity | rational function | root | Runge’s theorem | Schläfli polynomial | Stieltjes-Wigert polynomial | Stirling polynomial | trinomial | trinomial identity | univariate polynomial | Weierstrass’s polynomial theorem | Zernike polynomial
Educational grade level
middle school level (California Algebra I standard)