Question 1162807
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The *[tex \Large x]-axis is tangent to the graph of all polynomial functions that have an even number of <i>identical</i> factors.


So the *[tex \Large x]-axis is tangent to the graph of *[tex \Large f] at *[tex \Large x\ =\ 3], but the graph of *[tex \Large g] crosses the *[tex \Large x]-axis at *[tex \Large x\,\in\,\{-2, 0, 3\}] and the graph of *[tex \Large h] crosses the *[tex \Large x]-axis at *[tex \Large x\ =\ 3]. 
								
								
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
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