Cut it with a chopper. You won't need the sander.
Use Loctite Super Glue Ultra Gel Control for corners that are hard to tear apart with all your might. Or any super glue with "impact resistance" on the package. Or the 20 gram Gorilla Glue "Impact Tough" glue (but not their traditional glue). Those glues have rubber or something in them that is very resistant to shocks and bridges gaps very well. They are also gels which keeps the glue under control. Do not use runny glues, meh!
Dab drops of glue on one side, press the ends together hard with all your might on a table top for 30 to 60 seconds, then underpin. Those manual presses do wonders for your pecs, I've been getting compliments.
Practice on corner sample sized pieces until you start getting corners that make you sweat to tear apart, then go for it.
Those corners that break apart were simply made by misinformed framers or distributors who are confused, pure and simple.
I have to admit I use a lot of poly for my decor customers, and they're loving it especially for the mural sized pieces. There were a zillion new polys shown at WCAF and some (but not all) are pretty impressive with good texture, non-plastic looking surfaces, and awesome prices. Avoid those stupid old smooth plastic looking polys, meh.
Easy to join, very high yield, and NO TWISTED STICKS! OTOH, carpy shipping boxes.
Better get out of here before Jeff shows up.
Edit And yeah, there are different formulations of poly from different countries. The two rubberized glues I mentioned above will joint any of them. However, some of the super glues down and Lowes will not, so stick to the ones I mentioned for starters, then experiment if you wish.
Edit again. It is very important to tear apart some test corners to see how you're doing on glue application, and how close the glue is getting to the surface for the way you're applying it.