Problem: Let f(x) = x²/3. In Math 151, we could use the linearization of f centered at a = 8 to find an approximation to 102/3. In Math 152, we will use a second-order Taylor polynomial to provide both a calculation and the Remainder Estimation Theorem to give an upper bound on the possible error this approximation has. 1. Find the second order Taylor polynomial P₂(x) centered at a = 8.

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