Determine to $n=0, \ldots , 6$ the interpolation polynomial $p_n\in \Pi_n$ of order $n$ with the property $$p_n(k)=1+k+k^2, \ \ k=0, \ldots , n$$
So do we have to find the general formula of the polynonmial with the above property?
2026-04-03 12:34:06.1775219646
Determine the interpolation polynomial $p_n\in \Pi_n$
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