Math Homework. Do It Faster, Learn It Better.
The Zero Product Property
The Zero Product Property simply states that if , then either (or both). A product of factors is zero if and only if one or more of the factors is zero.
This is particularly useful when solving quadratic equations .
Example:
Suppose you want to solve the equation
.
You can factor the left side as:
Now, by the zero product property, either
or ,
which means either or . These are the two solutions of the equation.