Let f, g, and h be polynomials such that h(x) = f(x) + g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)?

h(0) = f(0) + g(0); for any polynomial in a single variable, if we substitute zero for the variable, all vanishes except the constant term. So we must have 3 = - 4 +g(0), which gives us g(0) =7.