In this lesson, we explore one of the most important concepts moving forward, the zero product property. This will follow students throughout the remainder of their mathematical career and will be assessed many times in order to ensure fluency in the topic. Please note:
a * b = 0 only when one of the following conditions is met:
- a = 0
- b = 0
- Both a = 0 and b = 0
This allows for us to consider every possible zero. If we can factor a trinomial (namely a second order polynomial), then we can easily find the roots (or zeros) of the graph by using the zero product property.