Updated last night. Tablet can't find the keyboard when Bluetooth is turned on and tablet is visible. This is the keyboard that came with the tablet in the student edition. I can't find anyone with this problem yet except in version 4.3. But this is 4.2.2.
I got it to work by going to the Bluetooth settings screen, then holding down the Bluetooth button on the back of my keyboard for about 5-10 seconds.
After that, the keyboard showed up on the available devices and it allowed me to pair it with my Tab 2.
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To clarify what this process does - holding down the button clears device pairings from the keyboard, and puts the keyboard back into discovery mode for the tablet to detect. – IAmTheSquidward Aug 20 '14 at 15:18