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, 2, and −63.Step Calculation: Coefficients are 1, 2, −63Step Output: Coefficients: 1, 2, −63
Find Factors: Step Title: Find the FactorsConcise Step Description: Find two numbers that multiply to −63 (the last term) and add to 2 (the coefficient of the middle term).Step Calculation: Factors of −63 that add up to 2 are 9 and −7.Step Output: Factors: 9, −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+9)(x−7).Step Output: Factored Form: (x+9)(x−7)