Determine if the polynomial Q(x) = 1/2 + 1/2(x + 1) + 1/4(x + 1)x + 1/12(x + 1)x(x 1) is the Lagrange interpolating polynomial P3 in Newton's form for the function f(x) = 2^x and the nodes x0 = 1, x1 = 0, x2 = 1, x3 = 2. Justify your