Will a M5A97 LE R2.0 motherboard and a AMD FX-8350 Black Edition Vishera 8-Core 4.0GHz (4.2GHz Turbo) Socket AM3+ be compatibl

Solution
support for it is added in bios version 1006 which released on 2012/10/22. i'd say unless the motherboard you buy is really old you should be fine.
For future reference there is this wonderful resource called the OEMs website.
If you would have gone to asus.com and viewed your board, and gone to support you could get a full list of features, drivers, a cpu support list (with what bios version is required for that cpu) and a memory support list.

Lavinluc got that information by you guessed it, going to the website.