A Problem Brews and One that any Fool can See // O Problemă Brează și Una la Mintea Cocoșului

 In the magazine Gazeta Matematică 11/1978, page 494.

I called problem 17503 "problem brew" as a play on words in harmony with the  Breaza , locality where the author is from.

         "17503*.  The polynomial  $P$  has real and distinct roots. If  $x_0$  is a root of it,

                      prove the inequality 

$3(P''(x_0))^2-4P'(x_0)\cdot P'''(x_0)\geqslant 0$.

 {Author : } N. TOMA, teacher, Breaza"

Solution CiP

.....

(to be continued)