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Factor as the product of two binomials.

x^(2)+3x+2=◻

Factor as the product of two binomials.\newlinex2+3x+2=x^{2}+3x+2= \square

Full solution

Q. Factor as the product of two binomials.\newlinex2+3x+2=x^{2}+3x+2= \square
  1. Identify Coefficients: Step Title: Identify the Coefficients\newlineConcise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are 11, 33, and 22.\newlineStep Calculation: Coefficients are 11, 33, 22\newlineStep Output: Coefficients: 11, 33, 22
  2. Find Factors: Step Title: Find the Factors\newlineConcise Step Description: Find two numbers that multiply to 22 (the last term) and add to 33 (the coefficient of the middle term).\newlineStep Calculation: Factors of 22 that add up to 33 are 11 and 22.\newlineStep Output: Factors: 11, 22
  3. Write Factored Form: Step Title: Write the Factored Form\newlineConcise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step.\newlineStep Calculation: The factored form is (x+1)(x+2)(x + 1)(x + 2).\newlineStep Output: Factored Form: (x+1)(x+2)(x + 1)(x + 2)