Write 4-6 sentences describing how you can use the form of a quadratic equation to decide how it can most efficiently be solved. For each solution method (factoring, by inspection, taking a square root, completing the square, and the quadratic formua), formulate an equation that would be the most efficiently solved using that approach. Write a comprehensive solution process for each as though you are explaining it to a friend who is struggling with this topic. So far what I have, is There are mainly three methods.

The splitting the middle term, completing the square and using the quadratic formula.

We split the middle term if the roots are simple whole numbers, and can be easily found.