polynomial
mathematical expression consisting of variables and coefficients
separable polynomial
expression whose number of distinct roots is equal to its degree
Polynomial mapping
Function such that the coordinates of the image of a point are polynomial functions of the coordinates of the point
cyclotomic polynomial
irreducible polynomial of integer coefficients whose roots are nth roots of unity
reciprocal polynomial
polynomial obtained from another polynomial by reversing its coefficients
trinomial
polynomial consisting of three terms or monomials
quadratic polynomial
polynomial with a degree of two
monomial
polynomial which has only one term
Bernstein polynomial
type of polynomial used in Numerical Analysis
invariant polynomial
polynomial invariant under a group action
Kostka polynomial
mathematic numbers
matrix polynomial
a polynomial with square matrices as variables
rook polynomial
generating polynomial of the number of ways to place k non-attacking rooks on a m×n chessboard
binomial
polynomial with two terms
integer-valued polynomial
polynomial that only takes on integer values when evaluated at an integer
Hurwitz polynomial
polynomial whose complex roots have non-positive real parts
knot polynomial
knot invariant that is a polynomial
Littlewood polynomial
polynomial all of whose coefficients are +1 or −1
Hilbert polynomial
polynomial function with rational coefficients whose values agree, for sufficiently large argument, with the dimensions of graded components of a graded algebra
matching polynomial
graph polynomial generating numbers of matchings
sparse polynomial
polynomial that has far fewer terms than its degree and number of variables would suggest
orthogonal polynomials
set of polynomials where any two are orthogonal to each other
Lagrange polynomial
polynomials used for interpolation
homogeneous polynomial
polynomial whose nonzero terms all have the same degree
irreducible polynomial
irreducible element in the ring of polynomials; a non-constant polynomial that is not the product of two non-constant polynomials
palindromic polynomial
polynomial p(x) of degree n satisfying p(x) = xⁿ p(1/x)
Newton polynomial
mathematical expression
polynomial greatest common divisor
greatest common divisor of polynomials
positive polynomial
polynomial whose values are positive on a given set
necklace polynomial
Number of arrangements on a necklace of n colored beads having α available colors
Square-free polynomial
Polynomial with no repeated root
characteristic polynomial
polynomial with roots that are the eigenvalues of a given matrix
symmetric polynomial
polynomial where any interchange in variables results in the same polynomial
Wilkinson's polynomial
expression whose zeros are the integers from 1 to 20
monic polynomial
univariate polynomial in which the leading coefficient is equal to 1