Binomial
See It in Action
Two examples of the idea done right—and one common look-alike that is not right.
EXAMPLE
EXAMPLE
NON-EXAMPLE
Definition
A binomial is a type of polynomial that contains exactly two terms. These two terms are typically separated by a plus (+) or minus (-) sign.
The general form of a binomial is:
ax^m + by^n
Here, a and b are constants (coefficients), and x^m and y^n are terms with variables raised to some power.
For example, x + 3 and 2x^2 - 5y are binomials. The key characteristic is that there are only two terms in the expression.
The name "binomial" comes from the Latin words "bi-" meaning "two" and "nomial" from "nomen", meaning "term". Thus, "binomial" literally means "two terms."
This reflects the structure of a binomial, which consists of exactly two terms connected by either a plus or minus sign. The term was coined in the context of algebra and polynomial expressions to specifically denote polynomials with two distinct terms.