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# Check the Polynomial belongs to unit open disk?

I have problem about the polynomial. Given the polynomial, $$p(x)$$, where $$p(x) = p_{k} x^{n} + p_{(k-1)} x^{n-1} + ...... + p_{0} x^{0}$$. How to check, whether all root belong to open unit disk $$|z| < 1$$? By reading the references, I have founded the Lehmer's method can be used to solve this problem. But, until right now, I don't understand.. I implement it too into computer programming as the programming excersice.. Any help, thank you very much :)

Note by Andrias Yuwantoko
4 years ago

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Not answering your question, but $$k=n$$, right? So why don't you use just one variable? :) · 4 years ago

I am sorry, you're right. I have edited, that $$p_{k}$$ and next are the coeficient of the polynomial. Means, the general polynomial to declare. Yes, it is using one variable that $$x$$. · 4 years ago