We'd almost certainly need to lose all three. If we only lost two, we'd be 9-7 and beating the Eagles twice means they'd have to finish 10-6 for us to lose the division. Not happening. They'd have to beat the Cardinals, Lions and Bears (and Vikings). I don't see it.
Now if we lost all 3 of those games you mentioned, the Eagles could lose to us and still take the division at 9-7. I kind of doubt it, but not impossible.
Of course, the most likely scenario is we lose to them to close out the season in a win and your in, lose and your out situation.