Suppose f(z) and g(z) are polynomials in z , and the degree of g(z) is less than the degree of f(z). If the degree of f(z) is 3, what is the largest possible degree of f(z)*g(z)?
For simplicity say f(z) = z^3
g(z) = z^2
z^3 * z^2 = z(3+2) = z5 5 is the largest possible degree for integer exponents
