Can a damaged granite top be polished?

In our experience, it is not advisable to try and polish the granite unless you are about to polish the entire top area. Why? Because there will be a big difference between the original polish and the repolish area. You can never get the same shiness and color of as from before it was damaged. Even if you polish the entire area of a granite slab, you can never get the same result as those with the original quality. Normally, you must replace it should that would be the case. We have tried lots of techniques and different adhesives but its still of no use. Until now, we are trying to discover new ways on how repair these kinds of mistakes but it seems that avoiding is the best solution for this problem.