Best Buy and other places will take them in for recycling so they don't end up in the land fill.
There may also be a electronics recycler in your city.
Will they pay me to recycle? I know they'll be selling what I give them.
I doubt any company will pay for two busted monitors. Most of the one's that do pay are looking for corporations doing a technology refresh where they might get marketable units. I used one of these companies when I was an asset manager. It usually paid for the service of getting rid of the junk plus a bit back.
The ones that take individual items from consumers are usually setup just to scrap them for the raw materials. All you get is a good feeling that you did not contribute to a landfill.
