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September 22nd, 2011, 03:26 PM   #1
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Finding a polynomial function given a graph

So I really have no idea how to do this whatsoever. I've been given a graph of a polynomial function of at least degree 4 (it can be intersected by a horizontal line four times). It has three zeros going through the x axis at 0 and 4 and touching from above it at -2. One other point, at (-1, 5) was also given. I have to find a function to describe this graph and I dont't even know where to begin. Any help would be appreciated.
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September 22nd, 2011, 03:39 PM   #2
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Re: Finding a polynomial function given a graph

With zeroes at (0,0), (4,0) and (-2,0) (this one tangent so it must be a root of multiplicity 2 for a total of 4 roots) means we may write:



We are given thus:





giving:

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September 22nd, 2011, 03:49 PM   #3
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Re: Finding a polynomial function given a graph

Thanks so much!!
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