A3 What is the degree of the polynomial $p$ given by $p(x)=(x+1)\left(x^{2}+1\right)\left(x^{3}+1\right) \ldots\left(x^{33}+1\right)$ ?
(A) 671
(B) 198
(C) 463
(D) 561
(E) 560
A3. The degree of the polynomial is the sum of the degrees of all factors $1+2+3+\cdots+33=561$.