Factor. g^2 – 11g + 18 ______

Identify Coefficients: Step Title: Identify the Coefficients Short Reasoning: The quadratic equation is in the form of ax^2 + bx + c. We need to identify the coefficients a, b, and c. Calculation: The coefficients are a = 1 (coefficient of g^2), b = -11 (coefficient of g), and c = 18 (constant term). Math Error Check: Find Factors: Step Title: Find the Factors Short Reasoning: We need to find two numbers that multiply to give the product of a*c (1*18 = 18) and add up to b (-11). Calculation: The factors of 18 that add up to -11 are -2 and -9, because (-2) * (-9) = 18 and (-2) + (-9) = -11. Math Error Check: Write Factored Form: Step Title: Write the Factored Form Short Reasoning: Using the factors found in the previous step, we can write the quadratic equation in its factored form. Calculation: The factored form is (g - 2)(g - 9). Math Error Check:

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Q. Factor.

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g^2 - 11g + 18

Identify Coefficients: Step Title: Identify the Coefficients $\newline$ Short Reasoning: The quadratic equation is in the form of $ax^2 + bx + c$ . We need to identify the coefficients $a$ , $b$ , and $c$ . $\newline$ Calculation: The coefficients are $a = 1$ (coefficient of $g^2$ ), $b = -11$ (coefficient of $g$ ), and $c = 18$ (constant term). $\newline$ Math Error Check:
Find Factors: Step Title: Find the Factors $\newline$ Short Reasoning: We need to find two numbers that multiply to give the product of $a*c$ ( $1*18 = 18$ ) and add up to $b$ ( $-11$ ). $\newline$ Calculation: The factors of $18$ that add up to $-11$ are $-2$ and $-9$ , because $(-2) \times (-9) = 18$ and $(-2) + (-9) = -11$ . $\newline$ Math Error Check:
Write Factored Form: Step Title: Write the Factored Form $\newline$ Short Reasoning: Using the factors found in the previous step, we can write the quadratic equation in its factored form. $\newline$ Calculation: The factored form is $(g - 2)(g - 9)$ . $\newline$ Math Error Check: