$\begin {vmatrix} x & x^2 & 1+x^3 \\ y & y^2 & 1+y^3 \\ z & z^2 & 1+z^3 \end {vmatrix}=0,x \neq y \neq z=>1+xyz=$

Question

\[\begin {array} {1 1} (1)\;0 & \quad (2)\;-1 \\ (3)\;1 & \quad (4)\;2 \end {array}\]