Question: Solve the problemss defined below using Python. Solve the problems defined below using Python. Verify the results solving each problem by hand. 1. Find a

Solve the problemss defined below using Python. Solve the problems defined belowSolve the problemss defined below using Python.

Solve the problems defined below using Python. Verify the results solving each problem by hand. 1. Find a polynomial P(x) of degree 3 or less whose graph passes through the four data points (-2,8), (0,4), (1,2), (3,-2). Use Newton's divided difference interpolation method. 2. Use Newton-Raphson Method to find the root to four correct decimal places for 3x + x = x+ 5 where xo= -1

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