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.