This was put together for my pupils who are about to learn about stationary points. Often, at this point, it transpires that there are some little issues with writing down solutions.

I’ve included x^2 = 16, as most pupils don’t factorise to a difference of 2 squares. Instead they end up with something like this. I am checking they know to write the positive and negative solution here. The rest of the task follows some regular variations that appear. 3 outside the brackets not being a solution, but 3x outside the bracket giving x = 0 as a solution etc.