Find all complex numbers
![m](/media/m/1/3/6/1361d4850444c055a8a322281f279b39.png)
such that polynomial
![x^3 + y^3 + z^3 + mxyz](/media/m/e/2/d/e2d9bf86a4f4b2de45ac4bba1f9a5b32.png)
can be represented as the product of three linear trinomials.
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Find all complex numbers $m$ such that polynomial
$$x^3 + y^3 + z^3 + mxyz$$
can be represented as the product of three linear trinomials.