When a quadratic equation can be rewritten such that the product of two factors is 0, the zero product property can be used to find two potential solutions to the quadratic equation. The zero product property tells us that one of the two factors must equal zero if the product is zero. We can create two equations, one for each factor, where the factor is equal to 0. The solutions to those two equations are the two possible solutions to the quadratic equation.
Work Step by Step
A quadratic equation can often be factored, meaning that it can be restated as the product of two binomial expressions.