Monomial

Definition

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables raised to non-negative integer powers.

5 Must Know Facts For Your Next Test

1. A monomial has no addition or subtraction operators.
2. The degree of a monomial is the sum of the exponents of all its variables.
3. Monomials can be multiplied by adding their exponents if they have the same base.
4. The coefficient of a monomial is the constant factor multiplying the variable(s).
5. A monomial cannot have negative exponents or variables in the denominator.

Review Questions

Related terms

Polynomial:

An algebraic expression consisting of terms that are either constants, variables, or products of constants and variables with non-negative integer exponents.

Binomial:

A polynomial with exactly two terms connected by addition or subtraction.

Trinomial:

A polynomial consisting of three distinct terms combined using addition or subtraction.