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    zaasmiZ
    @zaasmi said in Which formula is useful in finding the interpolating polynomial?: Given the following data Which formula is useful in finding the interpolating polynomial? Answer Lagrange’s interpolation formula X 1 2 5 9 f(x) 2 0 30 132 Page 135 Newton’s forward difference interpolation formula Newton’s backward difference interpolation formula None of the given choices The correct answer is Lagrange’s interpolation formula. Since the data points  = {1, 2, 5, 9} are unequally spaced, Lagrange’s interpolation formula is the appropriate method to find the interpolating polynomial. Newton’s forward and backward difference interpolation formulas are typically used when the data points are equally spaced, which is not the case here. Therefore, Lagrange’s interpolation is best suited for this dataset.
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