Question 108
The polynomial $P(x)=x^{3}-2 x^{2}-x+1$ has the three real zeros $a\gt b\gt c$. Find the value of the expression
$$
a^{2} b+b^{2} c+c^{2} a
$$
$$
a^{2} b+b^{2} c+c^{2} a
$$
MathNet 2006 — Part 03 Question 108
Math Olympiad Vault · MathNet 2006 — Part 03