With algebra questions
1. write a quadratic equation that can be solved by factoring. solve your equation and show and explain all your work.
2.how do you determine which method to use when you’re trying to solve a quadratic equation?
in advance

Here is a quadratic equation x^2 + 5x = 14
x^2 + 5x - 14 = 0 - Subtract 14 from both sides
(x + 7)(x - 2) = 0 - Factor
x + 7 = 0      x - 2 = 0  - Set each factor equal to 0
x = -7           x = 2  - solve each piece

If the constant is easy to find factors of then use the factoring method
If the constant is difficult and you have a graphing calculator, then graph
If no graphing calculator then use the quadratic formula

What exactly is your question?