WordWeb Online

1. Marked by artful prudence, expedience, and shrewdness
   "it is neither polite nor politic to get into other people's quarrels"; "a politic decision"; "a politic manager"; "a politic old scoundrel"; "a shrewd and politic reply"
    
2. Smoothly agreeable and courteous with a degree of sophistication
   "he was too politic to quarrel with so important a personage"
   - smooth, suave, bland

Sounds like: politick

See also: diplomatic, diplomatical, expedient, sagacious

Antonym: impolitic

Encyclopedia: Politic