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Factor. k2+9k+18k^2 + 9k + 18

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Full solution

Q. Factor. k2+9k+18k^2 + 9k + 18
  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, 99, and 1818.\newlineStep Calculation: Coefficients are 11, 99, 1818\newlineStep Output: Coefficients: 11, 99, 1818
  2. Find Factors: Step Title: Find the Factors\newlineConcise Step Description: Find two numbers that multiply to 1818 (the last term) and add to 99 (the coefficient of the middle term).\newlineStep Calculation: Factors of 1818 that add up to 99 are 33 and 66.\newlineStep Output: Factors: 33, 66
  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 (k+3)(k+6)(k + 3)(k + 6).\newlineStep Output: Factored Form: (k+3)(k+6)(k + 3)(k + 6)

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