Factor. k^2 - 11k + 18 ______

Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is k^2 - 11k + 18. In the standard form ax^2 + bx + c, the coefficient a is the coefficient of k^2, which is 1. The coefficient b is the coefficient of k, which is -11. The coefficient c is the constant term, which is 18.Find Multiplying Numbers: Find two numbers that multiply to give c (18) and add to give b (-11). We need to find two numbers that multiply together to give 18 and add up to -11. The numbers that satisfy these conditions are -9 and -2 because -9 * -2 = 18 and -9 + -2 = -11.Write Factored Form: Write the factored form using the two numbers found in the previous step. The factored form of the quadratic expression is (k - 9)(k - 2), because these factors will multiply to give the original quadratic expression k^2 - 11k + 18.

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k^2 - 11k + 18

Identify Coefficients: Identify the coefficients of the quadratic expression. $\newline$ The quadratic expression is $k^2 - 11k + 18$ . In the standard form $ax^2 + bx + c$ , the coefficient $a$ is the coefficient of $k^2$ , which is $1$ . The coefficient $b$ is the coefficient of $k$ , which is $-11$ . The coefficient $c$ is the constant term, which is $18$ .
Find Multiplying Numbers: Find two numbers that multiply to give $c (18)$ and add to give $b (-11)$ . We need to find two numbers that multiply together to give $18$ and add up to $-11$ . The numbers that satisfy these conditions are $-9$ and $-2$ because $-9 \times -2 = 18$ and $-9 + -2 = -11$ .
Write Factored Form: Write the factored form using the two numbers found in the previous step. $\newline$ The factored form of the quadratic expression is $(k - 9)(k - 2)$ , because these factors will multiply to give the original quadratic expression $k^2 - 11k + 18$ .