When creating a pretty Pole Zero Plot you will pull out your trusty TiNspire CX CAS , launch the Electrical Engineering Made Easy app (download at www.TiNSpireApps.com) and select option 9 in the menu
and enter the given Transfer Function as follows:
Finally, we head over to tab 1.3 to view the resulting Pole Zero Plot. The Zeros are drawn using O (here z=-6 since that makes the numerator equal to 0) . The Poles are marked using X (here positive and negative 3i as the make the denominator equal to 0).
Pole Zero Plots are a very simple and effective way to display the properties of a Transfer Function.