  # Nonpolynomial vs. Polynomial: What's the Difference? ## Nonpolynomial and Polynomial Definitions

#### Nonpolynomial

(algebra) Not polynomial.

#### Polynomial

Of, relating to, or consisting of more than two names or terms.

#### Nonpolynomial

(algebra) An expression that is not a polynomial.

#### Polynomial

A taxonomic designation consisting of more than two terms.

#### Polynomial

An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to nonnegative integral powers. For example, x2 - 5x + 6 and 2p3q + y are polynomials. Also called multinomial.

#### Polynomial

An expression of two or more terms.

#### Polynomial

An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as $a_n x^n + a_\left\{n-1\right\}x^\left\{n-1\right\} + ... + a_0 x^0$. Category:en:Polynomials

#### Polynomial

(taxonomy) A taxonomic designation (such as of a subspecies) consisting of more than two terms.

#### Polynomial

(algebra) Able to be described or limited by a polynomial.

#### Polynomial

(taxonomy) of a polynomial name or entity

#### Polynomial

An expression composed of two or more terms, connected by the signs plus or minus; as, a2 - 2ab + b2.

#### Polynomial

Containing many names or terms; multinominal; as, the polynomial theorem.

#### Polynomial

Consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature.

#### Polynomial

A mathematical expression that is the sum of a number of terms

#### Polynomial

Having the character of a polynomial;
A polynomial expression