Factor the following trinomial completely.

To factor the trinomial completely, we first recognize that it resembles the form of a perfect square trinomial. We can check if it can be expressed as .

The first term, , is , and the last term, , is .

Next, we check the middle term: . In a perfect square trinomial, this term should equal (noting the negative). Since this is true, we can write the trinomial as:

So, the completely factored form is:

or simply: