If I boiled the water I'm putting in the fish tank, let say a day or two before, do you think it will eliminate pollutants in the water and better the quality of the water?
no.
if you are on city water, the bacteria level is very low (neglegable E.coli per 1000 ml is the standard here in ontario)
the only thing in your tap water will be carbonates, some phosphates (but most of this comes from our fish foods), sometimes nitrates, and sometimes trace heavy metals depending on the distribution system of your area.
of course, most municipalities chlorinate and some use flourides, so this will be in your water too. A good dechorinator will take out chlorine and chloramines. The flouride is in in such a small amount it will not bother your fish.
Carbon can be saturated quickly, but regular weekly cleaning of carbon removes part of the the outer surface of the granular carbon peice as well dirt clogging the micropores,
this allows for new molecules to become bound to the micropores in the carbon surface, as new micropores are exposed.
thus, regular cleaning of carbon extends its lifespan dramatically.
those chemistry buffs will note that it is localized van der walls forces that create the attraction of the pollutant to the carbon micropore surface. It is straight electrostatic attraction that creates the adsorption.