1. The degree of the polynomial $p(x)$ is 11, and the degree of the polynomial $q(x)$ is 7. Find all possible degrees of the polynomial $p(x) + q(x).$
The possible degrees of p(x) + q(x) are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11.
