Given that $f ( x )$ and $g ( x )$ are linear polynomials and $f ( x ) \cdot g ( x ) = 0$, describe all possibilities for the pair $f ( x )$ and $g ( x )$.
Given that $f ( x )$ and $g ( x )$ are linear polynomials and $f ( x ) \cdot g ( x ) = 0$, describe all possibilities for the pair $f ( x )$ and $g ( x )$.