Question 12
Let $$P(x)=x^{3}+ax^{2}+bx+c$$ be a polynomial where $$a, b, c$$ are integers and $$c$$ is odd. Let $$p_{i}$$ be the value of $$P(x)$$ at $$x=i$$. Given that $$p_{1}^{3}+p_{2}^{3}+p_{3}^{3}=3p_{1}p_{2}p_{3}$$, find the value of $$p_{2}+2p_{1}-3p_{0}$$.
Correct Answer: 18
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