impolitic

The story

1. Proto-Indo-European*né
2. Proto-Indo-European*n̥-
3. Proto-Italic*n̥-
4. Latinin-
5. Middle Englishin-
6. Englishim-
7. Proto-Indo-European*tpelH-
8. Proto-Hellenic*ptólis
9. Ancient Greekπόλις (pólis)
10. Ancient Greekπολῑ́της (polī́tēs)
11. Ancient Greekπολιτικός (politikós)
12. Latinpolīticus
13. Middle Frenchpolitique
14. Englishpolitic
15. English todayimpolitic

From im- + politic.