That 84.9 MB driver HP posted is a mistake. There aren't any AMD graphics drivers in that file.
This is the one you should be using, and if it doesn't work, unfortunately I would not know why it doesn't.
This package provides the AMD High-Definition (HD) Graphics Driver and Catalyst Control Center for supported notebook models that are running a supported operating system. For notebooks with switchable graphics modes, this package includes drivers for both graphics processing units (GPUs). Switchable graphics enable users to switch between a power-saving graphics mode (normally used under battery power) and a high-performance graphics mode. If high-definition multimedia interface (HDMI) video output is supported, this package also installs the HDMI Audio Driver.