Just going to leave this here:
http://boards.na.leagueoflegends.com/en/c/miscellaneous/Xp3EhQMY-advice-for-enjoying-and-succeeding-at-ranked-play
But seriously... the reality is sometimes you'll have godly teammates, sometimes you'll have terrible teammates... the only difference is you probably won't ever remember the former.
It's a basic survival instinct to remember the negative more than the positive, so it is understandable... but it does lead to frustration in cases like this. But the real problem is the mindset you're approaching the games with, which is leading to you caring more about winning than about your performance and thus getting frustrated when you lose.