# 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, 10 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

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

- 4 years, 10 months 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, 10 months ago

Anyone?

- 4 years, 10 months ago