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I want to solve following problem. I tried to solve it with "Cauchy integral formula" but I couldn't. How can I solve this?!

Suppose $p_0 > p_1 > p_2 > ... >p_n > 0$. Prove that all zeros of the polynomial $p(z) = \sum_{j=0}^n p_j z^j $ lie in the $\{|z| > 1\}$.

It's problem 1.1 in "A Course in Complex Analysis and Riemann Surfaces(Wilhelm Schlag)".

Vahid Shams
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    @DietrichBurde They are different. In my problem I want to show all zeros of a polynomial lie in |z| > 1, but in the other is |z| < 1. I think that solution don't work for my problem. – Vahid Shams Nov 16 '19 at 13:49
  • The text says "doesn't lie in the unit circle", see here. So this is a duplicate. – Dietrich Burde Nov 16 '19 at 15:18
  • This question is asking how to prove that all zeros are not in the unit disc, so it is not a duplicate of the question asking how to prove that all zeros are in the unit disc. – Mike Battaglia Nov 17 '19 at 04:21

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