pow:problem6f20 [Department of Mathematics and Statistics, Binghamton University]

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.

Only one solution was received, form Yuqiao Huang. His solution is close to our solution, which is contained in the following link Solution