noun \ˌpä-lə-ˈnō-mē-əl\

Definition of POLYNOMIAL

:  a mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power (as a + bx + cx2)


poly- + -nomial (as in binomial)
First Known Use: 1674



Definition of POLYNOMIAL

:  relating to, composed of, or expressed as one or more polynomials <polynomial functions> <polynomial equations>

First Known Use of POLYNOMIAL

circa 1704


noun    (Concise Encyclopedia)

In algebra, an expression consisting of numbers and variables grouped according to certain patterns. Specifically, polynomials are sums of monomials of the form axn, where a (the coefficient) can be any real number and n (the degree) must be a whole number. A polynomial's degree is that of its monomial of highest degree. Like whole numbers, polynomials may be prime or factorable into products of primes. They may contain any number of variables, provided that the power of each variable is a nonnegative integer. They are the basis of algebraic equation solving. Setting a polynomial equal to zero results in a polynomial equation; equating it to a variable results in a polynomial function, a particularly useful tool in modeling physical situations. Polynomial equations and functions can be analyzed completely by methods of algebra and calculus. See also orthoganal polynomial.


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