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pow:problem6f20 [2020/11/23 00:36]
mazur created
pow:problem6f20 [2020/11/23 17:31] (current)
mazur
Line 1: Line 1:
 +<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}}
  
pow/problem6f20.txt · Last modified: 2020/11/23 17:31 by mazur