Question: 7. Consider the data (0,1), (1,3), (2,7). Let P2(x) be the polynomial of degree at most two which interpolates these points. (a) Find the Lagrange

7. Consider the data (0,1), (1,3), (2,7). Let P2(x) be the polynomial of degree at most two which interpolates these points.

(a) Find the Lagrange form of P2(x).

(b) Find the Newton's form of P2(x) (build the divided di?erence table).

7. Consider the data (0,1), (1,3), (2,7). Let P2(x) be the polynomial

\\u'; 4 ALL-.4 w uvuLJu 4v: \\JJ-J-V VLLVJ-I 7. Consider the data (0,1), (1, 3), (2, 7). Let P203) be the polynomial of degree at most two which interpolates these points. (a) Find the Lagrange form of 132(33) (b) Find the Newton's form of 132(3) (build the divided difference table)

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