Definitions for

**"Monomial"****Related Terms:**Polynomial, Algebraic expression, Term, Arithmetic expression, Algebraic number, Numeric expression, Discriminant, Transcendental number, Polynomial function, Ring, Logarithm, Discrete variable, Binomial theorem, Arithmetic sequence, Determinant, Arithmetic progression, Trinomial, Algebra, Equation, Exponential, Cardinal number, Exponential notation, Rational expression, Arithmetic, Modular arithmetic, Exponential function, Operation, Like terms, Modulo, Coefficient , Pi, Eigenvalue, Scalar variable, Diophantine equation, Subtraction, Discrete random variable, Irrational number, Natural number, Rational, Complex number, Rational numbers, Multiplicative inverse, Exponent, Numerical, Order of operations, Floating-point number, Array variable, Geometric progression, Function

A single algebraic expression; that is, an expression unconnected with any other by the sign of addition, substraction, equality, or inequality.

Consisting of but a single term or expression.

a constant, a variable, or the product of a constant and one or more variables

an algebraic expression that is either a numeral, a variable, or the product of numerals and variables

a one-termed expression

a polynomial that consists of exactly one term

a polynomial with only one term

a product of positive integer powers of a fixed set of variables, for example, , , or

a term in a polynomial, or equivalently, a polynomial of one term

In the variables , , , a monomial is an expression of the form axmynzk, is which , , and are nonnegative integers and is a constant (e.g., 5 2, 3 or 7 yz

An algebraic expression that is a single term of a polynomial; monomials are constants or the product of a constant and one or more variables raised to whole-number powers. The letter used to represent the set of natural numbers or counting numbers.

In the variables x, y, z, a monomial is an expression of the form ax , in which m, n, and are nonnegative integers and is a constant (e.g., 5x , 3x or 7x yz ).

An algebraic expression consisting of a single term.

A constant (a number), a variable, or a product of constants and/or variables.

A monomial is an algebraic expression that does not involve any additions or subtractions.

a polynomial with exactly one term.

An algebraic expression that is the product of a constant and a variable.

A polynomial with one term. It is a number, a variable, or the product of a number (the coefficient) and one or more variables. Examples: -1/4, x2, 4a2b, -1.2, 7x3yz2 ).

In mathematics, a monomial (or mononomial) is a particular kind of polynomial, having just one term. Given a natural number n and a variable x, the power function defined by the rule f(x)=xn is therefore a monomial. Given several unknown variables (say, x, y, z) and corresponding natural number exponents (say, a, b, c), the product of the resulting univariate monomials is also a monomial (e.g., the function determined by the rule f(x)=xaybzc).