* un-: A prefix meaning "not" or "the opposite of". It's a bound morpheme because it can't stand alone as a word.
* pleas-: The root word, meaning "to satisfy" or "to give pleasure". This can be a free morpheme (as in "please") or a bound morpheme depending on the context.
* -ant: A suffix meaning "one who" or "that which". This is a bound morpheme.
* -ly: A suffix meaning "in a ... manner" or "characterized by". This is also a bound morpheme.
Therefore, "unpleasantly" has three bound morphemes: un-, -ant, and -ly.