(25)4-Find the Lagrange interpolating polynomial for the data given in the table. \begin{tabular}{c|cccc} x & 2 & -1 & 1 & 0 \\ f(x) & -2 & -8 & 2 & 2 \\ \end{tabular}
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Step 1: The Lagrange interpolating polynomial is given by: $$P(x) = \sum_{i=0}^{n} y_i \cdot L_i(x)$$ where $y_i$ is the value of the function at $x_i$ and $L_i(x)$ is the Lagrange basis polynomial. Show more…
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