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