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Zero Product Property

Rule

Zero Product Property

The zero product property says that if the product of two elements is zero, one of the elements must be zero.

If

a b = 0,

then

a = 0

or

b = 0

It can be used to solve an equation. For example, the equation $x (x - 1) = 0 .$ To make the equation true, either $x = 0$ or $x - 1 = 0 .$