$x, y, z$ Polynomials

Algebra Level 3

$\large \begin{cases} x + y + z = 0 \\ x^3 + y^3 + z^3=18 \\ x^7 + y^7 + z^7=2058 \end{cases}$

Given that $x$ , $y$ and $z$ satisfy the system of equations above, find the value of $xyz.$

x,y,zx, y, zx,y,z Polynomials