Answer: This is a perfect square trinomial. You are trying to find the binomials that multiply to that. In order to do that, you do the following.
Multiply 2x^2 by 4 (A times C)
Find what numbers multiply to give you 8 and add to give you 7.
When you do this, you will notice that there are no numbers that do this. That makes your answer D. NONE OF THESE.
Explanation: