Dracaenas create such a beautiful tropical look in the garden.  They can be propagated with the cuttings, but when you need them removed entirely, they can be difficult to dig up.  They have very fibrous stumps.

To kill unwanted trees we recommend applying ‘Yates Zero Weedkiller Super Concentrate' using the cut-stump-method. Cut the trunk of the tree within 15-30 cm of ground level, paint ‘Yates Zero Weedkiller Super Concentrate' on to the cut surface within 15-30 seconds of cutting. Recut and reapply every 2 weeks if necessary. Allow 2 weeks before tree removal.  

The Tree & Blackberry Killer is also a great option, but the stump will need to remain in situ for 6 months for the product to complete its action.  As your dracaenas are close to your house, you may wish to replant the area as soon as possible.