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, −14, and 48.Step Calculation: Coefficients are 1, −14, 48Step Output: Coefficients: 1, −14, 48
Find Factors: Step Title: Find the FactorsConcise Step Description: Find two numbers that multiply to 48 (the last term) and add to −14 (the coefficient of the middle term).Step Calculation: Factors of 48 that add up to −14 are −6 and −8.Step Output: Factors: −6, −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−6)(x−8).Step Output: Factored Form: (x−6)(x−8)