Algebra II

Solving a quadratic equation by factoring depends on the zero product property. The zero product property states that if ab = 0, then either a = 0 or b = 0. 

Example 1

Solve 2 x ² = – 9 x – 4 by using factoring. 

1. First, get all terms on one side of the equation.
2. 
3. Factor the quadratic.
4. (2 x + 1)( x + 4) = 0 
5. Apply the zero product property.
6.