Motherwell manager Jens Berthel Askou tells BBC Scotland: "The win is important but the performance was more important because we needed to raise it from the other day [against Livingston]. It wasn't good enough.
"Many other times, had we delivered that performance, we would not have won the game. We might as well have lost it. Today was much better, much more controlled and dominant.
"The first half we were in full control, and it opened up a little. They tried to be man-to-man orientated. The second goal killed the game off a little and then we had good defensive structure at the end."
Dundee United manager Jim Goodwin told BBC Scotland: "We were really poor on the night, but I don't want to take anything away from Motherwell - I thought they were excellent, particularly in the first half.
"I've got to take my share of the blame in that because tactically, I don't think we got it right. We made changes, we were able to commit more bodies forward, be more aggressive in our press.
"In the first half, we were too cautious. Motherwell want the press, want you to come onto them, they want to break lines and take your midfield out the game. They caused us numerous problems."