Given the points Po = (0.0, 1.0), P1 = (2.0,2.0), and P2 = (3.0, – 1.0). Write down the coefficients ao, a1, and a2 of the second degree polynomial interpolating the points Po, P1, and P2 using Newton's divided differences.

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.