Pull up itunes on a computer and plug the iPad cord into the USB but the the device, hold the "Sleep/Wake" button and the "Home" button at the same time and count to 8. then let go the Sleep/Wake button BUT KEEP YOUR FINGER ON THE HOME BUTTON. while holding the home button connect the device to the cable thats plugged into the computer and keep holding the home button
AT NO TIME SHOULD YOU LET GO OF THAT HOME BUTTON until you see the message pop up in itunes saying "iTunes has discovered your iPad in recovery mode" then just go through the screens to restore the device.
if that message doesn't pop up after about 20 seconds, then call apple care, let them know you tried to perform the DFU mode restore (Deivce Firmware Update) and it was a no go. and ask them if you're in warranty to replace it for free.