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 14.Step Calculation: Coefficients are 1, −9, 14Step Output: Coefficients: 1, −9, 14
Find Factors: Step Title: Find the FactorsConcise Step Description: Find two numbers that multiply to 14 (the last term) and add to −9 (the coefficient of the middle term).Step Calculation: Factors of 14 that add up to −9 are −2 and −7.Step Output: Factors: −2, −7
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−2)(x−7).Step Output: Factored Form: (x−2)(x−7)