Will my time warmer remote control a Polk audio soundbar

Only if it has it's own Bluetooth button and it doesn't look like it has.

https://www.crutchfield.com/S-g9i9ame4xO7/p_107SB5KIHT/Polk-Audio-SurroundBar-5000-Instant-Home-Theater.html

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Please try to update your soundbar by following the steps below:

1. On the remote, press the SoundTouch button.
2. Press and hold the Closed Captioning button until the Wi-Fi indicator, TV indicator, SoundTouch indicator and Bluetooth indicator on the soundbar blink white.
3. The soundbar restarts when the update is complete.
   Note: The update may take between 8 and 30 minutes. Update time depends on wireless network activity and other wireless interference in the area.

If this does not help, try to factory reset your soundbar:

1. On the remote control, press the SoundTouch button
2. Press and hold the Teletext button (to the right of the CC button on the remote) for 10 seconds until the Wi-Fi, TV, SoundTouch and Bluetooth indicators blink white on the soundbar
   The soundbar restarts and the Wi-Fi indicator on the soundbar glows amber (setup mode) when the reset is complete
3. Restore the soundbar's network and audio settings by launching the SoundTouch app on your smartphone or tablet, add the system to your network and run the ADAPTiQ audio calibration

try to change the audio settings of the cable box . Try to check the audio output format is it PCM or RAW.
If you wish to get some details; check the site linked here. Pull up older posts. http://electro-medical.blogspot.com/

here you can find all about

http://www.polkaudio.com/Media/POLK/Product%20Manuals/IHT3000MN_ENG.pdf

19. Replacement Parts. When replacement parts are required, be sure the service technician has used replacement parts specified by the manufacturer or that the parts have the same characteristics as the original part. Unauthorized substitutions may result in fire, electric shock or other hazards. CAUTION: Danger of EXPLOSION if battery is incorrectly replaced. Repalce only with the same or equivalent type. (CR2032)

Yes providing it is the same impedance . EX if it is 8 ohm then they all have to be 8 ohms. Same goes for 4 ohm, 16 ohm etc.

hmm i would check the settings with it with your remote.

Buy an optical cable and follow the Polk instructions

I had just about given up on programming my Time Warner universal remote with my Boston Soundbar until a mental lightbulb came on. This is a two step process. Step 1: Program your Time Warner remote (I have CLIKR-5, instructions available for other models at timewarner.com) Using Pre-Programmed 3-digit Code method -Turn on soundbar - Press device button (I chose AUX) and OK/Select simultaneously until device button stays lit. - Point remote control toward the soundbar and enter code (447 for Boston Acoustics) - Press the device button again to store the code. The TW instructions say you should now be able to turn the device off to verify that it works, but this is not true for the soundbar. Hang in there with me. Step 2: Program your remote from the Boston Soundbar. - Press the power button and the volume up button simultaneously until the indicator light flashes orange. Here's where the instructions provided with the soundbar fail to explain how to do this. Each button is individually programmed into the TW remote. What you have done so far is enable the remote to accept the programming. - Volume Up: press the volume up button on the soundbar while it is flashing, the light should become steadily orange. - While holding the remote steady about a foot away from the soundbar, slowly press the volume up button on the TW remote four times. The orange light should flicker each time you do, turning green when completed. - Volume Down, Mute, Power: repeat the steps for Volume Up, except press the button on the soundbar you wish program to the TW remote while the soundbar is flashing orange. It should become steady before you press the corresponding button on the TW remote. Good luck, I hope this helps. -Deidre.