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pow:problem6f20 [2020/11/23 00:36] mazur created |
pow:problem6f20 [2020/11/23 17:31] (current) mazur |
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+ | <box 80% round orange|Problem 6 (due Monday, November 23)> | ||
+ | \\ | ||
+ | Let $f(x)$ be a polynomial with real coefficients such that $f(x)-2f'(x)+f''(x)>0$ for all $x$. | ||
+ | Prove that $f(x)>0$ for all x. | ||
+ | |||
+ | |||
+ | </box> | ||
+ | |||
+ | Only one solution was received, form Yuqiao Huang. His solution is close to our solution, which | ||
+ | is contained in the following link {{:pow:2020fproblem6.pdf|Solution}} | ||