Factor completely.

To factor the expression , you can start by factoring out the greatest common factor (GCF) of all the coefficients, which is 2:

Next, let’s focus on factoring the quadratic . We can use the quadratic formula to find the roots, or we can look for two numbers that multiply to and add to .

Upon checking, we can rewrite as:

.

Putting it all together, the completely factored form is:

.

So the final factored expression is:

.