You might be wondering why when using the Zero Product
Property we use the word “or” and when discussing the solutions we use the word “and”.
The Zero Product
Property says that one or both factors can be equal to zero which is why we use the word “or”. This is simply saying that either one of those numbers will make the equation
equal to zero.
When solving a quadratic equation, we are looking for any and all values that will make the equation
true. That’s why we use “and” when talking about the solutions. Both of those values will make the equation
Just remember that when you are stating the solutions for the equation, you should use both values obtained from your factoring.