I hope this is the right place for this and not under PC Gaming. I have been have an HP Pavillion dv7-4285dx, Intel Core i5, 6 GB RAM, ATI Mobility Radeon HD 6370 and I am having an issue with graphics in Skyrim.
I am seeing large irregular shapes and/or stretching of textures. I have been trying to read about this and as best I could figure I was needing to update the ATI drivers or the ATI Catalyst control for the switchable graphics. I tried updating the drivers through ATI but the automated tool that finds what you need essentially said to contact the manufacturer. HP's auto drivers/bios update tool said I didn't need anything.
Previously I had attempted to download an updated Catalyst Controls. That initially seemed to fix everything, Skyrim looked good and I retained control of the switchable graphics. Everything was great until the computer crashed and I lost control of the switchable graphics completely and the issue in Skyrim returned. Then I got some (very surprising) help from HP via a crash report and was able to eventually re-install the original ATI Catalyst Control and now I am back at square one.
I just looked up the recommended specs for skyrim and your graphics card doesn't even come close. You don't have a gaming graphics card and that is probably what is causing your issues. Entry level gaming cards in the radeon 6000 series are 64xx to 66xx. You are below that with a 6370 and you also have a mobile graphics card which makes things even worse.
I downloaded the current ATI Catalyst Control, Skyrim works and looks good, I have retained the ability to switch between high/low power graphics but I have lost the ability to adjust screen brightness. Dammit.