Trouble with BCNF decomposition

Multi tool useTrouble with BCNF decomposition
I have an exam soon and was wondering if you guys could help me with a concept im having trouble with, mainly how to figure out the candidate keys when dealing with BCNF decomposition. In this example linked below the second column for the decomposition tree the candidate keys are underlined I was wondering how would you determine if the candidate key that needs to be underlined is either A or E? Also not included in the picture is C.K, which for the entire relation are { E, AB, BC}
Image in Question
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Hi. Use text for text, don't use links or images. Google 'stackexchange homework' & show your work following your textbook & explain how you are stuck. Now you are asking us to rewrite your textbook.
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