# monomial

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## monomial

**1.**

*Maths*an expression consisting of a single term, such as 5

*ax*

**2.**consisting of a single algebraic term

**3.**

*Biology*of, relating to, or denoting a taxonomic name that consists of a single term

*The Great Soviet Encyclopedia*(1979). It might be outdated or ideologically biased.

## Monomial

the simplest type of algebraic expression considered in elementary algebra. A product consisting of a numerical coefficient and one or several variables, each with some integral positive exponent, is called a monomial. An individual numeral without literal factors is also called a monomial. Examples of monomials are –5*ax*^{3}, + *a*^{3}*c*^{3}*xy*, –7, + *x*^{3} and –*a*. In these examples, the coefficient +1 is implicit for the monomials +*a*^{3}*c*^{3}*xy* and +*x*^{3} and the coefficient –1 is implicit for the monomial –*a*.

In older algebra textbooks, an algebraic expression in which the last operation in the order of operations is not addition or subtraction is sometimes called a monomial. In this case, for example, the expressions 2(*a* + *b*) and *x*/(*y* + 1) are called monomials. However, even textbooks that start out by using this definition usually subsequently treat monomials in the narrower sense given above.