What is a reasonable approach for choosing between the various methods for solving quadratic equations?

One method of solving quadratic equations is by the factoring method, shown below:

1. Rewrite the equation in quadratic form if it is not already.

2. Factor the polynomial to make it easier to solve.

3. Set each factor equal to zero with the zero-factor property.

4. Solve each equation and check the solutions in the original equation.

Step-by-step explanation:

Below.

Step-by-step explanation:

First check if the function will factor. If so it is quickly solved this way.

Secondly, if it won't factor you can either use Completing the Square or the quadratic formula. I have troubling remembering the formula so I use completing the square.