The normal adjective in general meanings is
political. Apart from its use in the fixed expression
body politic,
politic is confined to the meaning 'judicious, expedient' (with reference to an action) and 'prudent, sagacious' (with reference to a person) and is normally used after a verb (such as
be) rather than attributively (before a noun). The corresponding adverbs are
politicly (from
politic, but not often needed) and
politically (from
political).
Politic is also found as a verb meaning 'to engage in politics' (usually with disparaging overtones), and its inflected forms are
politicked,
politicking.