For the function f (x) = 2x³ – 4x + 1 (a) Construct the divided difference table for the points x,=2, xı=2.5, x2=3, x3=3.5, x4=4 (b) Find the newton's backward divided difference polynomials of degrees 1, 2, 3, and 4 Show all the steps and calculations, including the rules.

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