It's for school use, and gaming on the run - such as lol, wow, cod and maybe BF if it can handle it. So yeah, what's your opinion on the matter? Which one should I go for, regardless of price. If you have other suggestions, please share them!
In my opinion second option is better. First, Quad-Core processor can be put in same bracket as i3s processors. Other one have i5, so it's clear. Both have 8GB RAM, so they're even there. Second option has wider screen, which, for gaming is surely better. And for the last, GeForce 840M is better graphic card.
With Lenovo Z710 you'd be able to run League of Legends for sure, WoW as well, I think Cod: Ghost would run smoothly on a bit lower setting which is case for Battlefield as well. For school purposes, I think that you don't need anything stronger than i3, 4gb ram, internal graphics.