Dag and Red 0-2 Shrewsbury
Goals from Terry Gornell and James Collins earned 10-man Shrewsbury victory against struggling Dagenham, who also had a man sent off.
Gornell poked home the opener early on when latching onto Richard Rose's miscued clearance across goal.
Shrewsbury then had debutant James Wallace sent off after he was shown a straight red for a lunge on Jon Nurse.
In injury time, Scott Doe gave away a penalty and was sent off for a foul on Collins, who converted from the spot.