1 Dwalin: Glaive-glaive-glaive-corseque-glaive-partisan-glaive-ranseur-glaive-glaive-glaive-guisarme.
2 Mordekai: Glaive-glaive-glaive-glaive-spetum-glaive-glaive-quarterstaff-glaive-glaive-glaive-glaive-ranseur.
3 Lambert: Wait. Is a quarterstaff a pole arm?
4 Dwalin: Nae, 'tis just a pole.
4 Lambert: You're out, Mordekai!

Pole arms were originally improvised weapons made by peasants by taking various farm implements and attaching them to the end of a pole. This turned out to be surprisingly effective, mostly because of the increased reach such weapons had.

So... if a pole arm is a weapon attached to a pole, and a pole arm is a weapon...

Logically you could attach a pole arm to a pole and have an even better weapon!

(I dare any Dungeons & Dragons players to try this in a game and argue sincerely with your DM that this would work and grant a bonus.)