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When i hit 6 months i had a score of 720+ with cc limits 5k+ and they denied me. Tried to recon and it still didn't work. They told me they look for about a year of credit history. So i would not waste the inquiry.
As 09Lexie pointed out above, and for optimal results, your history would need to be >12 months -- unless you are going via the secured card route. Of course, this would vary by individual. In general, BofA favors a fairly established file (not thin) before you can be considered for one of their unsecured CC products.
I have this card also but been banking with them (BofA) since '98 so that helps. lol