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Factor k^(2)+9k+18

Factor k2+9k+18 k^{2}+9 k+18

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Full solution

Q. Factor k2+9k+18 k^{2}+9 k+18
  1. Identify Coefficients: Step Title: Identify the Coefficients\newlineReasoning: Check the numbers in front of the variables and the constant term.\newlineCalculation: Coefficients are 11, 99, 1818.
  2. Find Factors: Step Title: Find the Factors\newlineReasoning: Need two numbers that multiply to 1818 (constant term) and add to 99 (coefficient of kk).\newlineCalculation: Factors of 1818 that add up to 99 are 33 and 66.
  3. Write Factored Form: Step Title: Write the Factored Form\newlineReasoning: Use the factors to write the quadratic in factored form.\newlineCalculation: The factored form is (k+3)(k+6)(k + 3)(k + 6).

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