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--- pow:problem4s23 [2023/03/21 16:47] – mazur
+++ pow:problem4s23 [2023/03/24 05:30] (current) – mazur
@@ Line 1: / Line 1: @@
+<box 85% round orange| Problem 4 (due Monday, March 20)>
+Let $f(x)$ be a polynomial of degree $n$ with $n$ distinct real roots. Prove that
+the polynomial
+\[f(x)f''(x)-(f'(x))^2\]
+has no real roots.
+</box>
+We received solutions from Prof. Vladislav Kargin, Ashton Keith, Krishnaraj Sambath, and Thomas Wu. One of the
+solutions was not correct, the others were essentially the same as our original solution. For a detailed solution
+see the following link {{:pow:2023sproblem4.pdf|Solution}}.