  A theorem of Scott gives an upper bound for the normalized volume of lattice
polygons with exactly $i>0$ interior lattice points. We will show that the same
bound is true for the normalized volume of lattice polytopes of degree 2 even
in higher dimensions. In particular, there is only a finite number of quadratic
polynomials with fixed leading coefficient being the $h^*$-polynomial of a
lattice polytope.
