Tri-mode isn't very practical -- especially considering the minor difference in price vs a capable 4 ch.
Any amp that's 2 ohm stable in stereo (not bridged) can be used in tri mode. It just requires a 4 ohm (or higher) pair of speakers, and a 4 ohm (or higher) sub.
Problems -- you have to use an in-line filter for both the speakers and subs which adds to the cost as well as the difficulty of the installation, especially for a novice. Plus -- unless it's a high power amp (requiring high power speaker) the power to the sub would not be much.
The speakers are connected as usual. The sub is then connected to the bridge terminals of the amp.
For example -- Say your amp is 100 x 2 at 4 ohms stereo, and 150x2 at 2 ohms stereo.
If the speakers and sub are all 4 ohms the resulting load on the amp would be 2 ohms stereo. The speakers would see 75w each and the sub would see 150.
You'd need a high pass filter for the speakers and a low pass filter for the sub. The crossover on the amp would be unused.
I've never seen it actually used, and it's not something I'll ever mess with.
In all my 10 yrs lurking on various forums I only recall one person that's actually done it and liked their results.
With a 4 channel amp you'd use 2 ch to run the speakers and the other 2 ch bridged for the sub (the sub needs to be either a single 4 ohm or dual 2 ohm voice coil).
In this case -- example - Amp is 75x4 at 4 ohms stereo, 100x4 at 2 ohms stereo.
Front speakers would see 75w, sub would see 200w. You'd turn on the high pass filter for the speaker channels, and low pass for the rears.