Introduction to poles and zeros based on notes made from Engineering Circuit Analysis, 4th ed Hyat and Kemmerly. McGrawHill.
Study notes on poles and zeros. You are welcome to correct it for yourself.
Series RL circuit was straight forward but the parallel LC circuit needed more looking into by myself.
Poles and Zeros continue on in Higher Order RLC circuits and Laplace Circuit Analysis.
You probably know more about it than me.
Poles and Zeros of LC circuits,
Good to know partial fractions can be worked in Mathcad/Prime.