Use Descartes' Rule of Signs to analyze the number of positive and negative real roots and the number of non-real roots of the function: $$h(x) = 3 x^{6}-13 x^{5}+12 x^{4}+19 x^{3}+x^{2}-12 x+9$$

There are at least and at most positive real roots.
There are at least and at most negative real roots.
There are at least and at most non-real roots.