Is it possible for the transfer function of an RLC system to have zeros other than at the origin?
simulate this circuit &ndash; Schematic created using CircuitLab

One pole, one zero. Neither one is at the origin.

Or, even simpler, if you're willing to consider a transimpedance transfer function:







simulate this circuit

The transimpedance (\$v_{out}/i_{in}\$) has just one zero, and it's not at the origin.