Identify Coefficients: Step Title: Identify the Coefficients Reasoning: Check the numbers in front of the variables and the constant term. Calculation: Coefficients are 1, 9, 18.Find Factors: Step Title: Find the Factors Reasoning: Need two numbers that multiply to 18 (constant term) and add to 9 (coefficient of k). Calculation: Factors of 18 that add up to 9 are 3 and 6.Write Factored Form: Step Title: Write the Factored Form Reasoning: Use the factors to write the quadratic in factored form. Calculation: The factored form is (k + 3)(k + 6).

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

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Q. Factor

k^{2}+9 k+18

Identify Coefficients: Step Title: Identify the Coefficients $\newline$ Reasoning: Check the numbers in front of the variables and the constant term. $\newline$ Calculation: Coefficients are $1$ , $9$ , $18$ .
Find Factors: Step Title: Find the Factors $\newline$ Reasoning: Need two numbers that multiply to $18$ (constant term) and add to $9$ (coefficient of $k$ ). $\newline$ Calculation: Factors of $18$ that add up to $9$ are $3$ and $6$ .
Write Factored Form: Step Title: Write the Factored Form $\newline$ Reasoning: Use the factors to write the quadratic in factored form. $\newline$ Calculation: The factored form is $(k + 3)(k + 6)$ .