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, −5, and −50.Step Calculation: Coefficients are 1, −5, −50Step Output: Coefficients: 1, −5, −50
Find Factors: Step Title: Find the FactorsConcise Step Description: Find two numbers that multiply to −50 (the last term) and add to −5 (the coefficient of the middle term).Step Calculation: Factors of −50 that add up to −5 are −10 and 5.Step Output: Factors: −10, 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−10)(x+5).Step Output: Factored Form: (x−10)(x+5)