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

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Identify biased samples

Full solution

Q. Factor.

\newline

k^2 + 9k + 18

\newline

____

\newline

Identify Structure: Identify the structure of the quadratic expression. $\newline$ The given expression is a quadratic in the form of $k^2 + bk + c$ , where $b = 9$ and $c = 18$ .
Find Numbers: Look for two numbers that multiply to $c$ ( $18$ ) and add up to $b$ ( $9$ ). $\newline$ We need to find two numbers that multiply to $18$ and add up to $9$ . The numbers $3$ and $6$ satisfy these conditions because $3 \times 6 = 18$ and $3 + 6 = 9$ .
Write Binomials: Write the quadratic expression as a product of two binomials using the numbers found in Step $2$ . $\newline$ The expression can be factored as $(k + 3)(k + 6)$ .

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