In this video, I'll show you how you can record your PC's screen for free using Microsoft Expression Encoder 4.
Updated tutorial available here: https://www.youtube.com/watch?v=yLxzTmlxWCU
You do NOT need a product key! Just skip that page and you'll be all set.
Link: http://www.microsoft.com/downloads/en/details.aspx?FamilyID=5c3c5f97-678c-4c99-a7fc-f84f320c626f&displaylang=en