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'fundamental theorem of algebra'
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| Title of object: |
fundamental theorem of algebra |
| Canonical Name: |
FundamentalTheoremOfAlgebra |
| Type: |
Theorem |
| Created on: |
2002-02-13 09:09:01 |
| Modified on: |
2002-02-13 09:23:00 |
| Classification: |
msc:12D99, msc:30A99 |
Revision comment (for changes between this and next version):
| Changes for correction #8796 ('suppress link'). |
Preamble:
% this is the default PlanetMath preamble. as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.
% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}
% there are many more packages, add them here as you need them
% define commands here |
Content:
Let $f:\mathbb{C}\rightarrow\mathbb{C}$ be a non-constant polynomial. Then there is $z\in\mathbb{C}$ with $f(z)=0$.
In other words, $\mathbb{C}$ is algebraically closed. |
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