"We already turned the page on Japan, we cannot stay in regret - unfortunately it was lost, but we know that we have two games ahead that can give us the option of advancing in the World Cup".
Rodriguez's short corner eventually found Quintero, whose smart through ball back to Rodriguez gave him time and space to curl a ideal left-footed cross that Mina rose to header powerfully past Szczesny on 40 minutes.
Lewandowski finally got a chance to score his first World Cup goal in the 58th minute but his first touch on the long ball was not his best and goalkeeper David Ospina smothered his shot.
Lewandowski might cringe when he sees that tweet again, but there was no ill feeling between him and Rodriguez as Colombia's talisman embraced a gutted Lewandowski at full-time.
The South Americans go into the final game knowing a win against Senegal will book them a place in the last 16.
Three was the least Colombia deserved, with their dominance leaving Poland looking little more than mesmerised spectators for the majority of the fixture.
Radamel Falcao doubled Colombia's lead in the 70th minute, applying the clinical finish to a lovely team move.
"The only thing I can say is that we hope to have a complete game on Sunday, Colombia need to win to stay alive", he told reporters.
When right-back Sanitago Arias found Quintero, the midfielder sliced Poland's defence apart with a low pass that found Falcao on the run before he beat Szczesny down low with the outside of his right boot.
Colombia did well to shut down the striker with two players always close on his heels, and Poland did not have the quality or the skill to switch their tactics. He formed an excellent partnership with Quintero to create some handsome play for Colombia.
Poland played well for 15 minutes but then faded. "The Colombian team was a much better team", Poland coach Adam Nawalka said.
Poland has now failed to keep a clean sheet in its last 10 World Cup matches, since beating Portugal 1-0 in 1986.