Given the following three data points:

Determine the national interpolating polynomial of lowest degree possible to this data using

x -1 0 1
_____________
F(x) 1 -1 -1

a.Lagrange’s interpolation formula

 

 

b.Newton’s interpolation formula

 

  c.   Quote the formula for the error applied to these special cases (since you are not given f(x), just leave any term’s in the error formula involving f(x) as they are)
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