Forum:AP Jax build

What do you think of this built:

21/9/0 or 24-25/5-6/0, depending of preference, like an AP carry a bit modified to fit Jax's kit.

Start boots and pots, then get bilgewater cutlass as soon as possible, then sheen, then Hextech Gunblade.

If the ennemy team starts for any reason to build MR, continue with any classic build. If not, switch to AP jax:

-Sorcerer's Boots

-Hextech Gunblade

-Lichbane

-Rabadon's Deathcap

-Rylai's [...] Scepter / Nashor's Tooth (depending if they have lots of evasion or not)

-Zonyha's Hourglass / Abyssal Scepter (depending if they can ultra-nuke you or not)

You have something inbetween ~550-640 AP, 20-40 Mpen, etc.

The burst is FUCKING huge (like when you Q (~640 damage), it procs Lich Bane, you W, (~564 dmg from the W and 640 from Lich Bane), attack, E (170 dmg and stun), then Ult's proc (~670 dmg), W is up again for another 564+640 dmg, and you have time for another ult's proc (670 dmg), about 160 dmg each AA and 300 damage from Hextech, for a total of ~5600 dmg, with about 20-40 mpen. Yeah, in teamfights you can be CCed, but in ANY duel you whipe them, except aybe against Xerath or some heavy CC champ (which is why you should have Cleanse)), he loses a little bit of armor compared to normal build during his ult (but against AD carries, he has his E), he has a fucking huge MR during ult and Gunblade's active makes escapes easier for you/harder for the ennemy. His sustain can be big, since when you are at low life, people should start focusing you, but since you have ~20-25% Spellvamp and ~15-20% life steal (depending of runes and masteries) and a quite high burst, you regain a lot of heal and they die before realising it.

Of course, Jax is still weak against CC, so I should reccomend taking Cleanse for anti-CC and Surge/Ignite for higher burst.

TL;DR: Any suggestions are welcomed, I tried this build a few times and it is really funny, since people go Full Hybrid Jax generally, so AP Jax can destabilise ennemies (I don't play ranked, so I think the build is not competitive, but in normal games it is really funny and refreshing)