Identify Coefficients: Step Title: Identify the CoefficientsConcise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are 1, −13, and 22.Step Calculation: Coefficients are 1, −13, 22Step Output: Coefficients: 1, −13, 22
Find Factors: Step Title: Find the FactorsConcise Step Description: Find two numbers that multiply to 22 (the last term) and add to −13 (the coefficient of the middle term).Step Calculation: Factors of 22 that add up to −13 are −2 and −11.Step Output: Factors: −2, −11
Write Factored Form: Step Title: Write the Factored FormConcise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step.Step Calculation: The factored form is (z−2)(z−11).Step Output: Factored Form: (z−2)(z−11)