2. [3] Let $Q(x)=x^{2}+2 x+3$, and suppose that $P(x)$ is a polynomial such that
$$
P(Q(x))=x^{6}+6 x^{5}+18 x^{4}+32 x^{3}+35 x^{2}+22 x+8 \text {. }
$$

Compute $P(2)$.
Answer: 2 Note that $Q(-1)=2$. Therefore, $P(2)=P(Q(-1))=1-6+18-32+35-22+8=2$.