OK this is my first build so sorry if it sucks. Jax is an amazing AP champion overall. First off I buy Boots of Speed and a HP pot I lane until I can buy my Ninja Tabi then return to my lane try to gank from time to time for the extra gold so you can buy a Blasting Wand and then buy your Guinsoo's Rageblade this item goes really well with his ultimate passive you should be pretty powerful now but help out lanes if they need it and if no good ganks are out just continue farming then buy a Tear of the Goddess to work on your Archangel's Staff after that you need to get Sheen for your Lich Bane which will make you very powerful now you're working on the almighty Rabadon's Deathcap which will boost your burst damage greatly now its time for a little extra survivability now you need to buy your Hextech Revolver followed by the Hextech Gunblade! Now go wreck the enemy up and completely destroy them!