The coefficient of x3 in the interpolating polynomial for the data

\(\begin{array}{c|c|c|c|c|c} x & 0 & 1 & 2 & 3 & 4 \\ \hline y & 1 & 2 & 1 & 3 & 5 \end{array}\)

is

1
\(-\frac{1}{3}\)
2
\(-\frac{1}{2}\)
3
\(\frac{5}{6}\)
4
\(\frac{17}{6}\)

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