![]() |
|
|
| |
|
||||
In elementary algebra, a binomial is a polynomial with two terms: the sum of two monomials. It is the simplest kind of polynomial. In biology, Binomial nomenclature is a naming convention for all living things. Examples:
The product of a binomial a + b with a factor c is obtain by distributing the monomial:
The product of two binomials a + b and c + d is obtained by distributing twice:
The square of a binomial a + b is
and the square of the binomial a - b is
The binomial <math> a^2 - b^2 <math> can be factored as the product of two other binomials:
A binomial is linear if it is of the form
where a and b are constants and x is a variable. A complex number is a binomial of the form
where i is the square root of minus one. The product of a pair of linear binomials a x + b and c x + d is:
A binomial a + b raised to the nth power, represented as
can be expanded by means of the binomial theorem or Pascal's triangle. Pascal's triangle is not good to use with large numbers but as a rule of thumb will suffice where the power does not exceed 7. See also: completing the square, binomial distribution, binomial coefficient. |
|
|
|
|
|
|
|
Copyright 2008 WordIQ.com - Privacy Policy
::
Terms of Use
:: Contact Us
:: About Us This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Binomial". |