Question: (30 pts.) Given the four data points (1,1),(0,1),(1,2),(2,0), determine the interpolating cubic polynomial using the monomial basis; using the Lagrange basis; using the Newton basis

(30 pts.) Given the four data points (1,1),(0,1),(1,2),(2,0), determine the interpolating cubic polynomial using the monomial basis; using the Lagrange basis; using the Newton basis Show that the three representations give the same polynomial
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