Question

. Consider the interpolating polynomial p2(x) of degree at most 2 that interpolates f at the nodes x0 = 1, x1 = 2, x2 = 3, where p2 = 3 + 4(x − 1) + 1(x − 1)(x − 2). Obtain the first order divided difference f[x1, x2] and also f[3]. Fill in the blanks: (a) The first order divided difference f[x1, x2] is . (b) f[3] = .

Answer 1

Answer:

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