Question 2Let $f(p)=p^{12}-p^{11}+3p^{10}-11p^3-p^2+23p+30$ and $g(p)=p^3+2p+m$. Determine all integer values of $m$ for which there exists a polynomial $h(p)$ such that $f(p)=g(p)h(p)$ for every real $p$.