Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are 1, 9, and 18. Step Calculation: Coefficients are 1, 9, 18 Step Output: Coefficients: 1, 9, 18Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to 18 (the last term) and add to 9 (the coefficient of the middle term). Step Calculation: Factors of 18 that add up to 9 are 3 and 6. Step Output: Factors: 3, 6Write Factored Form: Step Title: Write the Factored Form Concise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step. Step Calculation: The factored form is (k + 3)(k + 6). Step Output: Factored Form: (k + 3)(k + 6)

Algebra 2

Factor polynomials

Full solution

Q. Factor.

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k^{2}+9k+18

Identify Coefficients: Step Title: Identify the Coefficients $\newline$ Concise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are $1$ , $9$ , and $18$ . $\newline$ Step Calculation: Coefficients are $1$ , $9$ , $18$ $\newline$ Step Output: Coefficients: $1$ , $9$ , $18$
Find Factors: Step Title: Find the Factors $\newline$ Concise Step Description: Find two numbers that multiply to $18$ (the last term) and add to $9$ (the coefficient of the middle term). $\newline$ Step Calculation: Factors of $18$ that add up to $9$ are $3$ and $6$ . $\newline$ Step Output: Factors: $3$ , $6$
Write Factored Form: Step Title: Write the Factored Form $\newline$ Concise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step. $\newline$ Step Calculation: The factored form is $(k + 3)(k + 6)$ . $\newline$ Step Output: Factored Form: $(k + 3)(k + 6)$