Question 11
Let $P$ be the product of the roots of $$
z^6+z^4+z^3+z^2+1=0
$$ that have positive imaginary part, and suppose that $P=r(\cos\theta^\circ+i\sin\theta^\circ),$ where $r>0$ and $0\leq\theta<360.$ Find $\theta.$
z^6+z^4+z^3+z^2+1=0
$$ that have positive imaginary part, and suppose that $P=r(\cos\theta^\circ+i\sin\theta^\circ),$ where $r>0$ and $0\leq\theta<360.$ Find $\theta.$