QUESTIC Given the following data: -2 y-20-10 I -1 0 7 2 4 6 -8-4 40 172 286 i) State what should be done to the data if Newton forward difference is used to obtain interpolation polynomial for the above data. ii) Hence, by using all relevant data, find the interpolation polynomial of the above data using Newton forward difference and express the interpolation in form of Pn(x) = A₁x" + A₂x-1 + ... + An-12 + An. iii) State the degree of interpolation polynomial obtained in (ii).

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A: Topic = Functions

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