This build is out dated it looks like its from season 2 but i like it :D!

Four times!

Amazing I won 3 games in a row

Okay thanks for telling me to turning comment to vote on because I didn't think about troll voters!

No problem. One thing I didn't mention in my guide is that there are many unique and different ways to play Jax, and overall, high attack speed isn't bad, it is just my personal opinon that I don't feel he needs much. Phantom Dancer also helps his ultimate's passive so I find it to be completely viable, just not my personal favorite item. But one last suggestion would be turn on comment to vote, so people can't troll vote.

Thanks I will look at everything to see what I can do to improve I did not know that the trinity force and frozen mallet did not work together that they did not stack, however I do like the 700 health the mallet gives me so if I keep it that is why. I will change the runes to what you have listed and probably take away the bloodthirster however I am going to keep the phantom dancer because I personally like to have high attack speed. I will have wormog's armor sooner because It is very helpful Like you said originally I just thought that it might be a little expensive early on, but I have seen you build before and know that you know what you are talking about so thank for looking at my guide and taking the time to comment and tell me what you think I could improve!

Just some ideas to help this build out.

First off, Jax doesn't require that much attack speed because of his passive Relentless Assault which actually gives him MORE attack speed than a Phantom Dancer. Next, Trinity Force if much better than Frozen Mallet as it gives more of the stats that Jax needs, and also the fact that the passive is wasted when you buy both since you will only get one. I find that I can always slow someone even with just a chance of doing so, due to the fact that you have Leap Strike when they try to run to be able to hit them a few more times, overall making Trinity Force better than Frozen Mallet. I think that Bloodthirster is alright if you are fed but otherwise I would get something for a bit more bulk so that you don't have to always rely on your ultimate such as Maw of Malmortius. Finally, I would say that you should try out getting Warmog's Armor earlier as it's passive gives you more benefits over time which then makes Atma's Impaler as another viable option, while not making it a required one.

For runes, I am aware that you don't use them yet, but for Jax, if you are building him with lots of attack damage which appears to be the case, I would take nine Greater Mark of Desolation for your marks and 3 Greater Quintessence of Attack Damage for your quintessences and if you were not aware, you can have up to 3 quintessences. I would also suggest either 9 Greater Glyph of Magic Resist or 9 Greater Glyph of Scaling Magic Resist but not a combination of the two. Overall, I would suggest getting 9 of one specific rune that benefits your build to make it stronger in the early game so you can become much stronger faster. Seals are also important but there are several options, the best being for Greater Seal of Resillience or Greater Seal of Health.

Then, just elaborate more on playing Jax and everything about doing it and this guide is all right.