Term (mathematics)

A term is a single part of an expression, separated from other parts by addition or subtraction. It can be a number, a variable, or a product of factors.

Monomial: An algebraic expression consisting of a single term, formed from a coefficient and variable powers. A monomial is the simplest expression made from one term.
Like terms: Terms with identical variable parts, including the same variables raised to the same powers. Only terms with matching variable parts can be combined by addition or subtraction.
Factor (mathematics): A quantity multiplied by another quantity to form a product. Factors are joined by multiplication within a term, unlike terms separated by addition or subtraction.
Polynomial: An expression formed from a finite sum of terms with nonnegative integer variable exponents. Polynomials are organized as sums of terms.
Coefficient: A numerical factor multiplying a variable or product of variables. A term’s coefficient gives its numerical multiplier.
Combining like terms: Simplifying an expression by adding or subtracting the coefficients of like terms. This operation reduces several compatible terms to one.
Algebraic expression: A mathematical phrase combining numbers, variables, and operations without an equality sign. An expression may contain many terms; a term is only one of its additive parts.
Polynomial degree: The greatest total exponent of the variables among a polynomial’s nonzero terms. A polynomial’s degree is determined by its highest-degree term.
Variable: A symbol representing a number that may vary or be unknown. Variables can appear as factors within algebraic terms.
Distributive property: The rule that multiplication distributes over addition: a(b + c) = ab + ac. Distribution expands a product into multiple terms.

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