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, −3, and −70.Step Calculation: Coefficients are 1, −3, −70Step Output: Coefficients: 1, −3, −70
Find Factors: Step Title: Find the FactorsConcise Step Description: Find two numbers that multiply to −70 (the last term) and add to −3 (the coefficient of the middle term).Step Calculation: Factors of −70 that add up to −3 are −10 and 7.Step Output: Factors: −10, 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−10)(x+7).Step Output: Factored Form: (x−10)(x+7)