Battle Field 4 is a very graphic intensive game. Whilst your processor and 6 GB RAM will be sufficient, the
AMD radeon 8570 m will only allow you to play that game on low settings.I cant say exactly how many fps it will run it with. Just bear in mind that this laptop is really a low end and dont expect too much from it.
By the way, what is your budget ? If you can tell me that , then maybe I will be able to recommend a better laptop.