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Radamel Falcao's first career World Cup goal has helped Colombia keep alive its hopes of qualifying for the knockout stage of the World Cup and eliminate Poland with a 3-0 win.

A Yerry Mina header from a floated James Rodriguez pass put Colombia in front just before halftime.

Falcao made it 2-0 in the 70th before Juan Cuadrado sealed it in the 75th on a breakaway after Poland gave the ball away at midfield.

Both teams opened with 2-1 losses in Group H, and knew going into the match that another loss would end their hopes of advancing at the World Cup. Poland came into the tournament ranked eighth in the world.

Senegal and Japan drew 2-2 earlier Sunday and lead the group with four points apiece. Colombia has three points and would advance with a win Thursday over Senegal.