User Tools

Site Tools


pow:problem6f20

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

pow:problem6f20 [2020/11/23 05:36] – created mazurpow:problem6f20 [2020/11/23 22:31] (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}}