A polynomial is divisible with another one For what $m$ and $n$ is the polynomial $2X^{19}+X^{13}+mX^{11}+X^8+2X^6+nX^2+2$ divisible by $X^4+X^3+X^2+X+1$.
I tried to find the real solutions for g but couldn't

HINT:
$$x^5-1=(x-1)(x^4+x^3+x^2+x+1)=0$$
$$\implies x^{19}=x^4,x^{13}=x^3$$
