This problem is about polynomial degrees. Recall that the degree of a polynomial $p$ is $n$ if $p$ can be written as $$p(x) = a_nx^n+a_{n-1}x^{n-1}+\ldots+a_1x+a_0$$ where the leading coefficient $$a_n\neq 0.$$
The degree of $p(x) = 1$ is .
The degree of $p(x) = x^2+2x+3$ is .
The degree of $p(x) = \big((x+2)^2(x-1)^3\big)^2$ is .
Let $p$ and $q$ be polynomials of degree $m$ and $n$, respectively.
The degree of the product of $p$ and $q$ is .
and the degree of the composition of $p$ and $q$ is .
Hint: The product of two polynomials $p$ and $q$ is $$h(x) = p(x)\times q(x)$$ and the composition of $p$ and $q$ is $$h(x) = p(q(x))$$ or $$h(x) = q(p(x)).$$ (The two compositions are distinct but they have the same degree. If you are still confused look at simple examples.