Given $n+1$ real numbers $a_0,a_1,\cdots, a_{n}$ such that $0<a_0<\cdots<a_n$. Let $P(z)=\sum\limits_{i=0}^n a_i z^i $, where $z\in \mathbb{C}$. How to show that there must be $n$ roots of $P(z)$ in $\mid z\mid<1$? Thank you very much!
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This is a variant form of Enestrom-Kakeya theorem. – ts375_zk26 Dec 14 '16 at 11:45
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Get it! Thank you very much! @ ts375_zk26 @ copper.hat – Faith Dec 16 '16 at 00:44