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I failed the class because I wasn't smart enough to read the syllabus and realize that if I don't pick up all of my quizes from the professor during his office hours then they become zeros.

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You should try to fight this. Make an appointment with your dean.

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What exactly would you plan to say? "I didn't bother to read the syllabus and realize that I had to do X, Y and Z to pass"? I'm betting most of the students in the class passed, because they picked up their quizzes, and that leaves him with not much to stand on.