$P(x)=x^n+a_{n-1}x^{n-1}+...+a_1x+a_0$ where $a_i$ are real and $0<a_0 \le a_1 \le a_2 \le ... \le a_{n-1} \le 1$. Let $z$ be a complex root of $P(x)$ with $|z| \ge 1$. Prove that $z^{n+1}=1$
$P(x)=x^n+a_{n-1}x^{n-1}+...+a_1x+a_0$ where $a_i$ are real and $0<a_0 \le a_1 \le a_2 \le ... \le a_{n-1} \le 1$. Let $z$ be a complex root of $P(x)$ with $|z| \ge 1$. Prove that $z^{n+1}=1$
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