# What are coefficients?

Sep 25, 2014

Coefficients are the numbers in front of variables.

Example:

In the term $2 x$, 2 is the coefficient
In $4 {x}^{5}$, the coefficient is the number 4
In the case where the term is given as a single letter, for example, $y$, the coefficient of the unknown is 1.

Let's take a more complex term, for example the quadratic equation

${x}^{2} +$9x + 20

the coefficient would be 9, and the solution would be:

(x + 4)(x + 5)

as the two numbers 4 and 5 add to get the first number, in this case, 9, and multiply to give the second term, in this case, 20.