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 two, what is the degree of $f(z)+g(z)$?
2
if g(z) is is less than f(z) then no matter what, adding any G(z) will not increase F(z)
thus what ever f(z) is, that is what f(z) + g(z) is
example
f(z) = x^2
G(z) must equal a function with x(degree 1) or 1(degree 0) or something
x^2 + x +1 is still degree 2
+1242 
