Is it possible to fix my iPad screen? Large areas of black after bending it
Your screen is broken.  

The only way to fix it is to have the screen replaced.  If it's still under AppleCare then you'll pay a small amount of money to have Apple replace the screen.

If not under AppleCare, you'll pay more for the screen repair.  Prices will vary among the different repair outlets.  Be sure to do a complete backup of the device before you get it repaired.