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 −35.Step Calculation: Coefficients are 1, −2, −35Step Output: Coefficients: 1, −2, −35
Find Factors: Step Title: Find the FactorsConcise Step Description: Find two numbers that multiply to −35 (the last term) and add to −2 (the coefficient of the middle term).Step Calculation: Factors of −35 that add up to −2 are −7 and 5.Step Output: Factors: −7, 5
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−7)(x+5).Step Output: Factored Form: (x−7)(x+5)