I believe the correct term is "a mute": a person who cannot or does not speak (Merriam-Webster dictionary) Is it impolite? I don't think so. Maybe others will have an answer to that aspect of your question.
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imantaghaviHow about "tongue-less" and "unarticulate" ?No. The condition is called "mutism."
imantaghaviI wonder if "unarticulate" is also possible!I will of course defer to the dictionary but I have never heard or read "unarticulate." My advice would be to avoid it.
imantaghaviCheck this: http://www.thefreedictionary.com/unarticulateHow strange! In most dictionaries, after they define the word, they give examples of the same word. In this case, they define the word "unarticulate" and then give only examples of the use of the wo