# What Is a Coefficient?

This is part of a series of definitions that focus on constants, variables, and coefficients. These definition cards can easily be incorporated into a lesson plan.

### To see the complete collection of definitions on this topic, click on this link.

The following section provides a brief review of number properties that are helpful in working with numerical and variable expressions.

## Brief Review of Factors

When you multiply two numbers, each of them is a factor.

In this example, both 3 and 4 are factors. In fact, you can write any number as the product of its factors.

## Brief Review of Algebraic Expressions and Equations

An algebraic expression includes numbers, operations, and variables and is written in the form of a polynomial.

Here is a simple example of an algebraic expression.

Equations can sometimes consist of algebraic expressions, like the one shown below.

## Algebraic Expressions with Coefficients

One type of algebraic expression consists of a number multiplied by a variable. Here is an example.

Both the 3 and the x are factors, but with algebraic expressions, the 3 is also called a coefficient. In these algebraic expressions the coefficients are highlighted in red.

## Other Expressions with Coefficients

Here are some other examples of coefficients with exponential, logarithmic, rational, and trigonometric expressions.

The downloadable image is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

Note: The download is a PNG file.