Teleconverters are a cheap solution to more reach when compared to the cost of buying a longer lens. A TC is basically just a magnifying glass stuck behind a lens to give a larger main subject image on the sensor/film. Any inherent poor qualities in the lens are just made far worse by adding a TC, so sticking a TC behind a poor lens isn't a good idea. Zoom lenses are also compromised in comparison to a prime lens, so generally speaking converters behind a zoom lens aren't a good idea, but if you must, then make sure it's a quality zoom, and I wouldn't recommend using a 2X TC, but a 1.4X TC could get you more than acceptable results behind a quality zoom.
You should really just try to use converters behind a good prime lens. I mainly use a 1.4X TC behind my 500mm f4L and there's little if any discernable loss in IQ. I also use the 2X TC with the same lens on occasion, and it produces good results though not as good as the 1.4X TC.
Other things to note are that the 1.4X TC loses you one whole stop, while a 2X TC will lose you 2 stops. My 500mm f4 becomes effectively an f8 lens with a 2X converter and that's the maximum aperture, so you need pretty good light to keep the shutter speed reasonable.