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, −4, and 4.Step Calculation: Coefficients are 1, −4, 4Step Output: Coefficients: 1, −4, 4
Find Factors: Step Title: Find the FactorsConcise Step Description: Find two numbers that multiply to 4 (the last term) and add to −4 (the coefficient of the middle term).Step Calculation: Factors of 4 that add up to −4 are −2 and −2.Step Output: Factors: −2, −2
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−2)(x−2), which can also be written as (x−2)2.Step Output: Factored Form: (x−2)2