HI Endazer. I'm Greg, an Independent Advisor.
For my first ten years helping in forums, I had a hobby of making old laptops run as long as possible. The trick is to have a gold standard Clean Install, which I also authored and popularized among millions of consumers over those same ten years. Even with the very best install and upkeep, however, I never had one run well for more than 7-8 years, or at least not as fast as I require which is instantaneous on everything - made possible only by that same Clean Install, I believe. So while they all may have run 10 or more years, it wasn't worth running them after 7-8, so they were given away to people who thought they were fine.
All that said,Intel 4000 was barely capable in the early days of WIndows 10 and almost certainly isn't now. But that doesn't stop us from trying everything!
Does your laptop have switchable graphics which requires different settings explained here:
https://www.microcenter.com/tech_center/article...
https://www.intel.com/content/www/us/en/support...
http://www.geforce.com/hardware/technology/opti...
If not then I'd find out which adapter can be made to work best with the very best driver you can find for it, and then disable the other one in BIOS or in Device Manager.
The Display driver is so important here that merely updating it in such an end-of-life-extension scenario is not enough. So let's try everything possible to get it working best for each adapter to see what they have left in them:
First make sure you have updated the Display driver from the PC or Display adapter maker's Support Downloads web page for your exact model number, HP Serial Number or Dell Service Tag - from the sticker on the PC.
If necessary first remove the old driver using DDU https://www.wagnardsoft.com/content/ddu-guide-t... (not necessary with Microsoft Basic driver which is a placeholder if nothing else is available) and/or install in Safe Mode with Networking (so you have internet), or Safe Mode, accessed by one of these methods: https://www.digitalcitizen.life/4-ways-boot-saf...
While there check also for newer chipset, BIOS/UEFI firmware (very important), network, sound, USB3 and other drivers, comparing to the ones presently installed in Device Manager reached by right clicking the Start Menu.
If this doesn't give you the latest or ideal driver for what you need, compare it to the driver offered by the Intel driver update Utility here: http://www.intel.com/content/www/us/en/support/...
or the Nvidia Update utility here: http://www.nvidia.com/Download/Scan.aspx?lang=e...
or the AMD autodect utility here: http://support.amd.com/us/gpudownload/windows/P...
For Display issues one fix that is working is to Roll back or Uninstall the Driver on the Display Device > Driver tab, restart PC to reinstall driver.
You can also try older drivers in Device Manager > Display device > Driver tab > Update Driver > Browse > Let Me Pick.
Then you will know you've tried everything in addition to Windows Update drivers.
Adjust the screen resolution until it fits and looks best at Settings > System > Display.
Then watch WIndows Updates which may push a new monitor driver based on the display driver you now have installed.
Feel free to ask any questions. Based on the results you post back I may have other suggestions if necessary.
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