BINOMIAL

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:
:$a^2\; -\; b^2\; =\; (a\; +\; b)(a\; -\; b).\; quad$
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 ''n^th'' power, represented as
:$(a\; +\; b)^n\; quad$
can be expanded by means of the binomial theorem or, equivalently, using Pascal's triangle.

Contents

See also

See also

★ Completing the square

★ Binomial distribution

★ Binomial coefficient

★ The list of factorial and binomial topics contains a large number of related links.