In this video, we are going to look at how to complete the square.

For example:

If we are given

we can multiply it out to get

Here we have

and we want *c* to be some number so that when factored, both binomials are exactly the same. To figure out what this *c* value will be, we will do the following:

So in this case,

is the same as

or

In this case, *c* needs to be 4.

If we had something like

then

so

If we had to factor from here, then the two terms are whatever was. When we factor this we get

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