Pats could finish as low as the 10th seed. If NE loses, JAX loses, MIA wins and PIT wins, it would be MIA at #7, PIT at #8, JAX at #9 and NE at #10.
Even if only one of MIA and PIT wins, NE would still be out because JAX seeds higher than NE with both losing. It'd be MIA or PIT at #7, JAX at #8 and NE at #9.
JAX has to win which has them taking their division and out of the wild card placement. At that point. NE is at least #8 unless both MIA and PIT both win, then NE is #9.
Basically you need either of these - NE wins and gets #7 seed no matter what, or, NE loses and at least 2 of the following 3 teams also lose: TEN, MIA, PIT. If that occurs then NE would end up at #8 by finishing 8-9.
Interestingly, if TEN loses, MIA loses, and PIT loses, NE would finish as the #7 seed no matter if they win or lose this weekend and the NYJ would take the #8 seed at 8-9 over MIA and PIT.