4. (1) Use Lagrange interpolating polynomial to find the polynomial that passes through the points (-1,0), (0,-1) and (2,3): (2) Use Newton's divided differences to find the polynomial N₂(x) of degree 3 that approximate the function f(x) passing through the given 4 data points in the following table. And compute the approximation of f(1.5). X f(x) -1 -7 0 -5 1 -3 2 5

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