Please simplify using factors of 1. Please show your work and provide text to explain each step.z²

Please simplify using factors of 1. Please show your work and provide text to explain each step.z² – 13z + 40—————–; z² + 3z -40the first thing that I would think of is to use FOIL to factor the numerator and the nominator. Then I would ask myself “What are the factors of 40”?Where would you start? What is the significance of the factors of 40? What is FOIL? How is it used to factor?For z² – 13z + 40 we are looking for two numbers that add to -13 and multiply to 40 . The numbers should be-8 and -5 , and our factored expression is = (z-8) (z-5) For z² + 3z -40 we are looking…