Identify Coefficients: Step Title: Identify the CoefficientsConcise Step Description: Identify the coefficients of the trinomial equation, which are the numbers in front of the variables. In this case, the coefficients are 3, 28, and 49.Step Calculation: Coefficients are 3, 28, 49Step Output: Coefficients: 3, 28, 49
Find Factors: Step Title: Find the FactorsConcise Step Description: Find two numbers that multiply to the product of the first coefficient 3 and the last term 49, which is 147, and add to the middle coefficient 28.Step Calculation: Factors of 147 that add up to 28 are 7 and 21.Step Output: Factors: 7, 21
Write Factored Form: Step Title: Write the Factored FormConcise Step Description: Write the factored form of the trinomial equation using the factors found in the previous step, considering the first coefficient is not 1.Step Calculation: The factored form is (3x+7)(x+7), since 3x×x gives 3x2, (3x×7)+(x×7) gives 28x, and 7×7 gives 49.Step Output: Factored Form: (3x+7)(x+7)