factory reset might have left you with no screen as it may have reverted to using onboard screen as well.
You might be best doing a clean install- have you backed up everything you want to save? if not, you can try making this on another PC: http://www.howtogeek.com/howto/windows-vista/use-ubuntu-live-cd-to-backup-files-from-your-dead-windows-computer/
Also, on another PC, download the
Windows 10 media creation tool and use it to make a win 10 installer on USB
change boot order in BIOS so USB is first, hdd second
boot from installer
follow this guide:
http://www.tenforums.com/tutorials/1950-windows-10-clean-install.html
when you reach the screen asking for licence, click "I don't have a key" and win 10 will continue to install and reactivate once finished
fresh install should see the screen attached and maybe use it instead of your cracked one. I don't know for sure.
does it have a msata cache drive + a hdd as boot drive? if it does, you will need to set up Intel Rapid Storage Technology again as though bios maybe set as raid the hdd won't know the msata is there.