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

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...