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Why does the zero product property work?

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Oct 26, 2014

If #a cdot b=0#, then at least one of #a# and #b# must be zero since if #a# and #b# were nonzero, then #a cdot b# would be nonzero; therefore,

#a cdot b=0# means that #a=0#, #b=0#, or both.

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