EXERCISE 7.16. Let D be an infinite integral domain, and let g,h E D[X]. Show that if g(x) = h(x) for all x e D, then g h. Thus, for an infinite integral domain D, there is a one-to-one correspondence between polynomials over D and polynomial functions on D EXERCISE 7.16. Let D be an infinite integral domain, and let g,h E D[X]. Show that if g(x) = h(x) for all x e D, then g h. Thus, for an infinite integral domain D, there is a one-to-one correspondence between polynomials over D and polynomial functions on D