Will surgical removal of nasal polyps eliminate bad breath?

Possibly: If the polyps are ar infected, and that focus is the source of the halitosis, then removal might be beneficial. Check with your ent.

Possibly: You should see a dentist to rule out any oral causes of your bad breath. If you have chronic sinus infections due to your nasal polyps and you have a severe post nasal drip, it is possible this could give you bad breath. It is more likely dental or gastric in origin.

Possibly: Nasal polyps cause nasal obstruction, poor smell, and accumulation of nasal secretions. This can cause bad breath as a whole and removal of the nasal polyps and aeration of the sinus should help to prevent stasis of these secretions. Bad breath can be more than just this but polyps can definitely be a contributor to the bad breath.

Possibly: If the nasal polyps are obstructing (blocking) your ability to breath in air through your nose then it is likely you will have to breath through the mouth. This changes the oral environment and one of the consequences can be bad breath. This is due to the fact that not enough saliva is present to dilute or buffer the products of bacteria contained in the plaque on your teeth and tongue.

Unlikely: It is possible if you have total nasal obstruction and only mouth breathe but it is not likely.

Probably not: The presence of nasal polyps is unlikely the cause of bad breath. I would be more concerned about dental or oral disease.