Using 2 different model amps to drive one pair of patio speakers....novice questions

No
One set of terminals on each speaker.
I am fine with my plan. I do however have to sets of terminals on the back of my Polk RtiA3 speakers. I have them on a Carver M500 amp and an old Kenwood KA 7300 integrated I use as a preA

Do your speakers have two separate pair of binding posts on the back?  If yes, and they currently have a jumper connecting the two together you have a chance to experiment.  Remove the jumper connectors on both speakers.  Now you can perform Bi-Amping.  You will need two pair of speaker cables, same length, same make.  Hook amp 'A' leads (L & R) to the top binding posts.  Hook amp 'B' leads to the bottom posts.  Four hook ups per speaker, eight total, from two separate amps.  Now your in business.  The sound may not be what you are expecting.  You may need to run different volume settings on each amp to smooth/steady out the sound.  For Bi-Amping to work properly the amps must have closely matched electronic signatures.  But, what the heck, its worth a try!  Years ago I Bi-Amped a set of Kef Reference speakers with a C-J Premier 11a tube amp and C-J MF2250 solid state amp.  A single C-J Premier 17ls tube preamp ran both amps.....  It worked as an experiment.  

Leave it alone....its fine.

Control 28T 60 speakers yes....

175 watts

Like a lot of wanna be audiophiles like me I just assume that more is better.....I run my polk bookshelf speakers with a 200 w amp in my office and it sounds really good so I just assume that if I over power everything it will sound better.  Thanks for setting me straight.

First of all thank you for your comments. I was told the speakers need a lot of power. I was trying to maximize the components I have on hand it as you noted......I have plenty on the B&K and can store the fosgate for another day and another scenario

Are you referring to the JBL 20T-60 Indoor/Outdoor speakers? If so, you don't need any more power than a single B&K ST2140 or Fosgate RF2000 can supply. The B&K outputs 140 watts/channel and is a very good sounding amp. The Fosgate outputs 200 watts/channel into your 8 ohm JBL speakers. The JBL has a max power handling of 175 W.

Bridging would turn the Fosgate amp into a single channel amp with significantly more output. But it would only be one channel of amplification.

You cannot combine these 2 amps as far as I can tell with the information you've provided.

Is there some kind of problem you're trying to solve? Are they not playing loud enough using a single amp? If so, look elsewhere for the source of the problem. The speakers should play plenty loud using either of the amps you have on hand.