# How do you find the value of c that makes #x^2-24x+c# into a perfect square?

##### 1 Answer

Jan 5, 2018

Divide the coefficient of

#### Explanation:

Divide the coefficient of

So for

Squaring

So

In general:

Consider the factoring identity

If we only have the middle term,

(If we only take the coefficient on

Then if we square that, we get

So as you can see, taking the coefficient on