Rangers blew away Aberdeen in the second half to end their record seven-match winless streak at Ibrox in style and leave interim boss Barry Ferguson "relieved" after his first home victory at the sixth attempt.
Vaclav Cerny, Cyriel Dessers and Hamza Igamane all produced fine finishes in a 15-minute spell as Aberdeen fell apart at the back.
Jefte got in on the act in the closing seconds, adding the fourth when Cerny's effort deflected in off the Brazilian.
It completed a rout as Aberdeen's attempt to close the three-point gap to Hibernian in the race for third place fell flat.
"I'm relieved," said Ferguson. "Seven games is far too much.
"There was a lot of pressure on us today and, certainly in the second half, we handled that.
"First half, we were a bit passive, pedestrian in our play. Aberdeen never threatened us but I wanted more and I demanded more.
"We changed tactically, I wanted more runners from midfield, and I thought we were really convincing. The only disappointing thing for me was not scoring a few more goals."