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, −9, and 8.Step Calculation: Coefficients are 1, −9, 8Step Output: Coefficients: 1, −9, 8
Find Factors: Step Title: Find the FactorsConcise Step Description: Find two numbers that multiply to 8 (the last term) and add to −9 (the coefficient of the middle term).Step Calculation: Factors of 8 that add up to −9 are −1 and −8.Step Output: Factors: −1, −8
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 (x−1)(x−8).Step Output: Factored Form: (x−1)(x−8)