Math Terms

Coefficient

The numerical multiplier of a variable in an algebraic term. For example, in $8x$, the number $8$ is the multiplier.

Constant

A component of an expression with a fixed value that does not contain any variables, such as $12$ in $5x + 12$.

Factor

An expression, number, or variable that is multiplied by another to yield a product.

Factored form

An algebraic expression represented as a product of its prime or irreducible factors, such as $3(x + 5)$ for $3x + 15$.

Greatest common factor

The largest shared quantity or expression that divides two or more terms without leaving a remainder.

Like terms

Algebraic terms containing identical variable combinations raised to matching powers, such as $4x^2$ and $-9x^2$.

Linear expression

An algebraic expression where every variable is raised to an exponent of $1$, such as $7x - 4$.

Monomial

An expression formed by a single term consisting of a constant, a variable, or a product of constants and variables with non-negative integer exponents, such as $-6x^3y$.

Simplest form

The state of an expression where all grouping symbols are removed and all like terms are fully combined.

Term

A distinct part of an algebraic expression consisting of a number, variable, or product of both, separated from other parts by addition or subtraction.