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Wenn P(x)P(x)P(x) ein Polynom mit nnn verschiedenen Nullstellen xix_ixi ist, dann ist ∑i=1nP′′(x_i)(P′(x_i))3=0\sum_{i=1}^n\frac{P^{\prime\prime}\left(x\_i\right)}{\left(P^{\prime}\left(x\_i\right)\right)^3}=0∑i=1n(P′(x_i))3P′′(x_i)=0.
Aufgabe: Beweise die Aussage.