1)Let $\displaystyle f(x),g(x),h(x),r(x)$ be polynomials such that:

$\displaystyle f(x^5)+xg(x^5)+x^2h(x^5)=(x^4+x^3+x^2+x+1)r(x)$.

Show that $\displaystyle x-1$ divides $\displaystyle f(x)$.

2)Below is a unit circle with 7 equally spaced points. Find the product of all the line segments shown.