I'd highly suggest spending the 10 more dollars and getting the fx6300.
I recently picked up an old phenom x6 1055t and OC'ed it to 3.5ghz and honestly it's pretty much as good as my i5 in anything that's not an MMO or RTS which I'm not into anyway. It played BF4 multiplayer very well on 64player conquest on 1080p ultra, and played Arma 3 respectable on high settings, and those are two of the most demanding PC games out there, so anything less demanding would run even better.
I know everybody seems to drool over the dual core pentium these days but I wouldn't go for one unless you only play MMO or RTS.
a 6300 is about as good as the Phenom x6 so I can tell you first hand experience you'll be pleased with it.
What's your current cpu? I guess an old dual core phenom/athlon since you want to upgrade to the quad? Because if you already have a Phenom x4 965 you could just slightly OC it to 3.8ghz and still be alright in the majority of titles.
If at all possible, even consider the fx 8320e (95w) or regular 8320. I'm assuming your mobo will work with am3+ piledriver since you listed the fx 4300. I wouldn't get a bulldozer now days, it was widely known as a flop, the old Phenom II cpu's were better.
I'd also upgrade your ram to 8gb total along with getting the fx6300. I got this x6 phenom as an experiment to see if AMD could hold up and it really can, it opened my eyes, and for less than a third of the price my i5/z77 mobo combo was, in real world usage, I can't tell much of a difference. When I put an SSD in this thing it'll be even more snappy