Coefficient

Illustration of the mathematical expression 4x^2 + 7y - 1 with labels identifying the coefficient, variable, exponent, operator, and constant.
A visual breakdown of an algebraic expression highlighting the role of coefficients as numerical multipliers of the variables in mathematical equations.

Table of Contents

What is a Coefficient?

A coefficient is a numerical or constant factor that is multiplied by a variable or a product of variables in a term. In other words, it is the numerical part of a term that is being multiplied by one or more variables.

Coefficient Examples

  1. In the term , the coefficient is , and it is multiplied by the variable .

  2. In the term , the coefficient is , and it is multiplied by the variable .

  3. In the term , the coefficient is , and it is multiplied by the variables and .

  4. In the term 2, the coefficient is 2 , and it is multiplied by the variable .

  5. In the term 4, which can be considered as , the coefficient is 4, even though there is no explicit variable.

Related Links

Base (Algebra)

Constant

Equation

Like Terms