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, 6, and −40.Step Calculation: Coefficients are 1, 6, −40Step Output: Coefficients: 1, 6, −40
Find Factors: Step Title: Find the FactorsConcise Step Description: Find two numbers that multiply to −40 (the last term) and add to 6 (the coefficient of the middle term).Step Calculation: Factors of −40 that add up to 6 are 10 and −4.Step Output: Factors: 10, −4
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+10)(x−4).Step Output: Factored Form: (x+10)(x−4)