2. Consider the Newton polynomial Pn(x) = ao+a1(xr-xo) + a₂(x-xo)(x − x₁) +... +an(x-xo)(x - ₁)(x-In-1) that interpolates f(x) at ro, 1,,n. It is easy to see that ao = f[ro]. Show that a₁ = f[xo, 1], a2 = f[10, 11, 12], and a3 = f[10, 11, 12, 13].

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