If it's a very general term, you can expect a lower quality score. I would break out all the queries it's being matched to as exact matches, effectively using the broad match to research keywords.
Not to step on your toes glasner, as it is an easy mistake to make, but match type DOES NOT affect quality score. All keywords on phrase and broad match are judged ONLY on instances in which the search query precisely matches the keyword, regardless of match type. This is referred to as the exact match subset.
I didn't mean to imply that changing the match type will magically increase quality score. To me breaking them out as exact matches is about making the targeting better, both for the text ad and the landing page, which sets you up for a better quality score.