Problem: I was give a second monitor at work. My problem was that when I would drag an open Remote Desktop Connection to the second monitor, the window would have scroll bars. I wanted to run the Remote Desktop session in full screen mode.
1. Click the start button, and in the run box type: mstsc -f
2. Click on the icon or hit enter to open the Remote Desktop Session
3. When the Remote Desktop Connection pop-up box opens, drag this box by the title bar to the second monitor. In the second monitor, then enter the connection information (server, login, etc) in the 2nd monitor. The Remote Desktop session will open in Full-Screen Mode in your 2nd Monitor.