Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor the trinomial:

3x^(2)+28 x+49
Answer:

Factor the trinomial:\newline3x2+28x+49 3 x^{2}+28 x+49 \newlineAnswer:

Full solution

Q. Factor the trinomial:\newline3x2+28x+49 3 x^{2}+28 x+49 \newlineAnswer:
  1. Identify Coefficients: Step Title: Identify the Coefficients\newlineConcise Step Description: Identify the coefficients of the trinomial equation, which are the numbers in front of the variables. In this case, the coefficients are 33, 2828, and 4949.\newlineStep Calculation: Coefficients are 33, 2828, 4949\newlineStep Output: Coefficients: 33, 2828, 4949
  2. Find Factors: Step Title: Find the Factors\newlineConcise Step Description: Find two numbers that multiply to the product of the first coefficient 33 and the last term 4949, which is 147147, and add to the middle coefficient 2828.\newlineStep Calculation: Factors of 147147 that add up to 2828 are 77 and 2121.\newlineStep Output: Factors: 77, 2121
  3. Write Factored Form: Step Title: Write the Factored Form\newlineConcise Step Description: Write the factored form of the trinomial equation using the factors found in the previous step, considering the first coefficient is not 11.\newlineStep Calculation: The factored form is (3x+7)(x+7)(3x + 7)(x + 7), since 3x×x3x \times x gives 3x23x^2, (3x×7)+(x×7)(3x \times 7) + (x \times 7) gives 28x28x, and 7×77 \times 7 gives 4949.\newlineStep Output: Factored Form: (3x+7)(x+7)(3x + 7)(x + 7)