The Dragons' eight-try victory, complete with bonus point, means they could be crowned champions if they beat Leinster in Dublin next Friday night.
Mike Ruddock's men still require championship rivals Llanelli Scarlets or Ulster who meet at Stradey Park in seven days' time to drop points, but they remain strong contenders.
The Borders' 17th defeat of a miserable Celtic League campaign was sealed by early Dragons' tries from scrum-half Gareth Baber and lock Peter Sidoli, leaving them to face nothing more than a damage-limitation exercise.
Scotland international scrum-half Chris Cusiter created Borders' best moments and was a threat throughout, but the Dragons had too much pace and power to be seriously troubled.
Dragons coach Ruddock, the new Wales supremo, enjoyed a winning Rodney Parade send-off as his team easily preserved their 100% home league record this season. In the process, they posted their first half-century of the campaign, scoring35 points in the second half, while centre Percy Montgomery kicked seven of his eight conversion attempts.
: Tries: Tuipuluto, Luscombe, Warlow, Baber, Sidoli, Charteris, Oakley, Breeze. Cons: Montgomery 7.
: Tries: Brown. Cons: Morton. Pens: Morton.
GARETH THOMAS and Neil Jenkins completed fairytale farewells to the Brewery Field last night as they helped Celtic Warriors edge to a dramatic and controversial victory over Cardiff Blues which ensures them a place in the Heineken Cup next season.
Utility back Thomas, soon to move to French giants Toulouse, scored the winning try 10 minutes from time but video replays of the movement which led to the try indicated that the Wales and British Lions international had grounded the ball just short of the line.
: Tries: Parker, G. Thomas, Horsman. Cons: N. Jenkins 3. Pens: N. Jenkins 3.
: Tries: R. Williams, Shanklin, Morgan. Cons: I. Harris. Pens: I. Harris 3.
GLASGOW looked on course for the win they needed to make sure of a Heineken Cup berth until Joel Brannigan powered over at the death to snatch a last-gasp win for the Gunners at Meadowbank.
The Warriors did, however, salvage the consolation bonus point which effectively put them out of reach of the Borders in the race for Scotland's second qualification place.
: Tries: Di Rollo, A. Dall, Brannigan. Cons: Warnock 2.
: Tries: Parks, Pinder. Cons: Parks 2. Pens: Parks.