# Dictionary Definition

binomial adj

1 relating to binomials; "binomial
expression"

2 consisting of two names or terms; "binomial
nomenclature" n : a quantity expressed as a sum or difference of
two terms

# User Contributed Dictionary

## English

### Etymology

binōminis (having two names)### Adjective

binomial- Consisting of two names, terms, or parts.

#### Translations

- Italian: binomiale

### Noun

- A polynomial with two terms.
- A quantity expressed as the sum or difference of two terms.
- In the context of "biology|taxonomy": A scientific
name at the rank of species, with two terms: a
generic name and a
specific name.
- Usage note: Some people deprecate use of binomial and advocate use only of binominal in this context.
- See species name for typesetting usage and example.

#### Synonyms

- In the context of "biology|taxonomy}} binomen
- binominal
- species name

#### Translations

# Extensive Definition

In elementary
algebra, a binomial is a polynomial with two terms:
the sum of two monomials. It is the simplest
kind of polynomial except for a monomial.

The binomial a^2 - b^2 can be factored as the
product of two other binomials:

- a^2 - b^2 = (a + b)(a - b).

The product of a pair of linear binomials a x + b
and c x + d is:

- (a x + b)(c x + d) = a c x^2 + (a d + b c) x + b d.

A binomial raised to the nth power,
represented as

- (a + b)^n

### Example

A simple but interesting application of the cited binomial formula is the "(m,n)-formula" for generating Pythagorean triples: for ''m a=n^2-m^2,\ b=2mn,\ c=n^2+m^2, then a^2+b^2=c^2.## See also

- Completing the square
- Binomial distribution
- Binomial coefficient
- The list of factorial and binomial topics contains a large number of related links.

binomial in Catalan: Binomi

binomial in Hebrew: נוסחאות הכפל המקוצר

binomial in German: Binom

binomial in Estonian: Binoom

binomial in Spanish: Igualdades notables

binomial in Esperanto: Vikipedio:Projekto
matematiko/Dutermo

binomial in French: Binôme (mathématique)

binomial in Italian: Binomio

binomial in Polish: Dwumian

binomial in Slovenian: Binom

binomial in Swedish: Binom

binomial in Finnish: Binomi

binomial in Ukrainian: Біном

binomial in Chinese: 二项式

binomial in Dutch: Merkwaardig product

and
also a binomial is a polynomial that has two term. You can use the
distributive property to find the prduct of the monimial and a
binomial.