Sorry, I didn't see your post while I was typing mine.
It's not that the poles are too long but the pack compartment is too short!
Most of us use packs in which the main section is a single full-length pack bag (usually about 24" long) rather than divided. This is partly for lighter weight and (at least for me) mostly that a single compartment pack allows a lot more versatility in getting everything inside.
Since Tom has looked at your pack, I'd go with his recommendation! You might want to try set up a routine of fastening on the poles before you put your tent in the pack, which will help prevent leaving the poles behind (tents are a lot more visible than poles).
Question--What about horizontally? Quite a few people like to carry their tents (with tent and poles together in their stuff sack) sideways across the top, under the pack lid (if the pack has one--this method won't work well if it doesn't).