I tried doing it the way the kids would have done it, but I just got confused. Is there a better way to solve this?
Basically writing it out and trying possibilities, but there are so many!
I am so sorry I am posting twice in a row...
You do not need to appologise for posting 2 questions, it is reasonably clear that you are using this forum as an an aid to your learning.
Off hand I do not see why there would need to be any quadratics with integer roots. Especially when we do not even know how many kids are in the class.
I could easily be wrong and I do not know how to show it one way or the other.
Since it could be a class of hundreds of students it is impossible to write out all the possibilities.