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Oct 31, 2009 at 22:41 comment added Michael Hoffman OOOOOOOOHHHHHHHHHHHHHHH, duh, now I understand this problem in the elementary case... wow I was not on my toes
Oct 31, 2009 at 22:23 vote accept Michael Hoffman
Oct 31, 2009 at 22:23 comment added Michael Hoffman I'm going to accept this answer, b/c I think Qiaochu makes a good point that this isn't a good problem for metacognition
Oct 31, 2009 at 22:17 comment added Qiaochu Yuan The square of a polynomial plus 1 is positive on the real line. Your best bet is probably combinatorial problems, especially of the game-theoretic or graph-theoretic variety. Solving simple problems in these fields is much more a matter of clever constructions and much less a matter of being aware of specific concepts or theorems.
Oct 31, 2009 at 22:13 comment added Michael Hoffman Any ideas on a good place to look for questions that are less contingent on very specific knowledge? Like what domain? Perhaps geometry... but that tends to require that you know several theorems in geometry (I mean specifically Euclidean here)
Oct 31, 2009 at 22:05 history answered Qiaochu Yuan CC BY-SA 2.5