Matrices And Determinants

If $$\left|\begin{array}{lll}x & x^2 & 1+x^3 \\ y & y^2 & 1+y^3 \\ z & z^2 & 1+z^3\end{array}\right|=0$$ and \(x, y\) and \(z\) are all distinct, then \(x y z\) is equal to