Binomial

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For other uses, see Binomial (disambiguation).

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 a2 − b2 can be factored as the product of two other binomials:

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

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 a + b raised to the nth power, represented as

(a + b)^n \quad

can be expanded by means of the binomial theorem or, equivalently, using Pascal's triangle.

[edit] See also

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