Question

Use newton's interpolating polynomial to find the polynomial passing through the points

Answer 1

Answer:

Use this table to calculate the interpolating polynomial passing through the points (3, -2), (4, 10), (5, 16), (7, 34) using the least possible number of differences and divisions. Thus, the interpolating polynomial is p(x) = -2 + 12(x - 3) - 3(x - 3)(x - 4) + (x - 3)(x - 4)(x - 5).