Personally I wouldn't do that, while it seems like a quick win, it's generally not the best way to get decent bass.
The main issue is that most factory head units often apply a 'high-pass filter' to the rear speaker outputs, which basically cuts out the low frequencies – the very bass your subwoofer needs! So, you'd end up with weak or no deep bass because the signal it's getting is already missing those crucial frequencies.
Plus, the rear speaker signals are often pre-processed with EQ, time alignment, or compression designed for smaller, full-range speakers. Feeding this altered signal to a subwoofer can lead to unnatural or inconsistent bass. For the best sound, your subwoofer really needs a clean, full-range signal.