What is a literal coefficient in math? What is a literal coefficient of an expression?

Definition of a literal coefficient

A literal coefficient is a variable (or the product of variables) in a term.

Here are some examples of the literal coefficients.

Example of a literal coefficient

76a

In the algebraic expression (a) is a variable. The (a) is a literal coefficient. 76 is a numerical coefficient.

Example of a literal coefficient

56ab

In the algebraic expression the (ab) is a literal coefficient. This literal coefficient has two factors.

Example of a literal coefficient

61a^{14}

In the algebraic expression the a^{14} is a literal coefficient.

Example of a literal coefficient

6a^{7}b^{6}c^{5}

In the algebraic expression the a^{7}b^{6}c^{5} is a literal coefficient.

Example of a literal coefficient

What is the literal coefficient of the algebraic expression

-a

Solution:

-a = (-1) * a

The (a) is the literal coefficient of the expression.