Factor the binomial completely. Select "Prime" if the polynomial cannot be factored.

To factor a binomial completely, you want to look for common factors or special patterns. For example, if you have a binomial like \(x^2 - y^2\), you can use the difference of squares formula, which factors it into \((x - y)(x + y)\). On the other hand, if the binomial is something like \(x + 5\), it is already in its simplest form and is considered "Prime" because it cannot be factored further. Another key point is to keep an eye out for two terms like \(2x + 8\). Here, you can factor out the greatest common factor, which is 2, resulting in \(2(x + 4)\). Remember, sometimes it’s as simple as looking for that common factor or applying a special factoring pattern!