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<img src="graphs/graphcomplexroots.gif" >
<p>The Fundamental Theorem of Algebra asserts that every polynomial with complex coefficients has a root in the 
complex plane.  MathXpert brings the visual realization of this theorem to the computer screen, showing all the 
roots of a complex polynomial.  The example shows the "roots of unity", that is, the solutions of the equation 
<em>x<sup>n</sup>=1</em>.  By clicking on the <em>n</em> button on the Graph Toolbar (in MathXpert, not here),
you can rapidly change the value of <em>n</em>, thus demonstrating that all these roots lie on the unit circle and 
divide the circle into <em>n</em> equal parts.</p>

<p>When this was first programmed, I asked my friend if he had ever seen such a graph before.  "Only in my mind",
he replied.</p>

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