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Given the following data f(0) = 1.00000, f(0.25) = 1.64872, f(0.5) = 2.71828, and f(0.75) =...

Given the following data f(0) = 1.00000, f(0.25) = 1.64872, f(0.5) = 2.71828, and f(0.75) = 4.48169, how many possible interpolating polynomials of degree at most two can be constructed for approximating f(0.6)?

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