# Definitions for **polynomial**ˌpɒl əˈnoʊ mi əl

### This page provides all possible meanings and translations of the word **polynomial**

### Random House Webster's College Dictionary

pol•y•no•mi•alˌpɒl əˈnoʊ mi əl(adj.)

consisting of or characterized by two or more names or terms.

(n.)an algebraic expression consisting of the sum of two or more terms.

**Category:**Matha polynomial name or term.

a species name containing more than two terms.

**Category:**Taxonomy

#### Origin of **polynomial**:

1665–75

### Princeton's WordNet

polynomial, multinomial(adj)

a mathematical function that is the sum of a number of terms

polynomial, multinomial(adj)

having the character of a polynomial

"a polynomial expression"

### Wiktionary

polynomial(Noun)

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 .

polynomial(Noun)

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

polynomial(Adjective)

Able to be described or limited by a polynomial.

polynomial(Adjective)

of a polynomial name or entity

**Origin:** poly- + -nomial

### Webster Dictionary

Polynomial(noun)

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

Polynomial(adj)

containing many names or terms; multinominal; as, the polynomial theorem

Polynomial(adj)

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

### Freebase

Polynomial

In mathematics, polynomials are the simplest class of mathematical expressions. A polynomial is an expression constructed from variables and constants, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents. However, the division by a constant is allowed, because the multiplicative inverse of a non-zero constant is also a constant. For example, x² − x/4 + 7 is a polynomial, but x² − 4/x + 7x3/2 is an algebraic expression that is not a polynomial, because its second term involves a division by the variable x, and also because its third term contains an exponent that is not a non-negative integer. A polynomial function is a function which is defined by a polynomial. Sometimes, the term polynomial is reserved for the polynomials that are explicitly written as a sum of terms involving only multiplications and exponentiation by non negative integer exponents. In this context, the other polynomials are called polynomial expressions. For example, is a polynomial expression that represents the same thing as the polynomial The term "polynomial", as an adjective, can also be used for quantities that can be expressed as a polynomial of some parameter, as in polynomial time, which is used in computational complexity theory.

# Translation

#### Find a translation for the **polynomial** definition in other languages:

Select another language:

#### Discuss these polynomial definitions with the community:

# Citation

## Use the citation below to add this definition to your bibliography:

"polynomial." *Definitions.net.* STANDS4 LLC, 2014. Web. 26 Nov. 2014. <http://www.definitions.net/definition/polynomial>.