At this stage, I recommend manual installation of the latest graphics driver.
Download the zip version of the video driver:
Windows® 8.1 32 bit
File name: win32_153339.zip
Windows® 8.1 64 bit
File name: win64_153339.zip
I think this may just be a numbering issue. When I install the linked driver file manually, I get the message "Windows has determined the driver software for your device is up to date" (Intel(R) HD Graphics).
As a test, I ran the setup file that came with this driver download. This time I see it is attempting to install the same driver I already have (10.18.10.4276 dated 8/17/15). Plus it installs an Intel Graphics Control Panel which I don't need.
So is 10.18.10.4276 the current driver for my system, and this other number from the update utility (126.96.36.19942) something else altogether?