Given that f, of, x, equals, x, squared, plus, 6, x, minus, 27f(x)=x
2
+6x−27 and g, of, x, equals, x, minus, 3g(x)=x−3, find f, of, x, dot, g, of, xf(x)⋅g(x) and express the result as a polynomial in simplest form.