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December 24th, 2011, 09:22 PM   #1
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Interpolating polynomial : Using Newton's formula

Given the following data points:

x = -1 0 1
f(x) 1 -1 -1


Determine the interpolating polynomial of lowest degree possible to this data using NEWTON'S INTERPOLATION FORMULA


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December 25th, 2011, 11:02 AM   #2
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Re: Interpolating polynomial : Using Newton's formula

[1]+[1,-1](x+1)+[1,-1,-1](x+1)x

[1]=1
[1,-1]=-2
[1,-1,-1]=1

-> 1-2(x+1)+(x+1)x
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