Factor. k^2 + 9k + 18 ____

Identify Coefficients: Identify the coefficients of the quadratic expression. k^2 + 9k + 18 has coefficients a = 1, b = 9, and c = 18.Find Multiplying Numbers: Look for two numbers that multiply to ac (1*18) and add up to b (9). The numbers 3 and 6 work because 3 * 6 = 18 and 3 + 6 = 9.Write as Binomials: Write the quadratic expression as a product of two binomials using the numbers found. (k + 3)(k + 6) is the factored form of k^2 + 9k + 18.

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Factor. $\newline$ $k^2 + 9k + 18$ $\newline$ ______

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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k^2 + 9k + 18

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Identify Coefficients: Identify the coefficients of the quadratic expression. $k^2 + 9k + 18$ has coefficients $a = 1$ , $b = 9$ , and $c = 18$ .
Find Multiplying Numbers: Look for two numbers that multiply to $ac$ ( $1\times18$ ) and add up to $b$ ( $9$ ). $\newline$ The numbers $3$ and $6$ work because $3 \times 6 = 18$ and $3 + 6 = 9$ .
Write as Binomials: Write the quadratic expression as a product of two binomials using the numbers found. $\newline$ $(k + 3)(k + 6)$ is the factored form of $k^2 + 9k + 18$ .