Please show work

By-hand problem Explain (show) why Simpson's rule nds: a b g \" (a) + 4m + W2) + no) is exact for x) 2 1, x] 2 3:, at) 2 $2. This can be shown directly, but the simplest explanation will rely on how Simp- son's rule is constructed using an interpolating polynomial for f (at)