# What is Completing the Square?

##### 1 Answer

Apr 5, 2018

See explanation below

#### Explanation:

When you have a polynomial such as

it is sometimes desirable to express it in the form of

To do this, we can artificially introduce a constant which allows us to factor a perfect square out of the expression like so:

Notice that by simultaneously adding and subtracting

Now we can do this:

We have "completed the square"!