+537 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).
+6251 \(deg(p(x))\neq deg(q(x))\Rightarrow deg((p+q)(x)) = \max(deg(p(x)),deg(q(x)))\\ \text{In this case }11>7\Rightarrow deg((p+q)(x))=11\)
If the two polynomials have the same degree it's possible that terms can cancel making the resulting
degree of the sum polynomial dependent upon the individual polynomials being summed.
