Most versions of the Linux* operating system include Intel® graphics drivers. Intel recommends checking with your Linux distribution vendor or computer manufacturer for updated drivers. I suggest you to review the information here for Linux* drivers and support:
In addition, Intel® HD Graphics set the video resolution using the driver installed and what it detects on the EDID of the display that is connected. At BIOS level there are no drivers working, just the Video BIOS that is installed by your system manufacturer, so if you have issues with the screen resolution that you are using within the system BIOS menu, you need to discuss that directly with your Original Equipment Manufacturer or motherboard manufacturer.