Factor. u^2 - 11u + 18 ______

Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is u^2 - 11u + 18. In the standard form of a quadratic expression ax^2 + bx + c, the coefficient a is the coefficient of u^2, b is the coefficient of u, and c is the constant term. For our expression, a = 1, b = -11, and c = 18.Find Multiplying Numbers: Find two numbers that multiply to c (18) and add up to b (-11). We need to find two numbers that multiply together to give us 18 and when added together give us -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 (u - 9)(u - 2), because these factors will multiply to give the original quadratic expression u^2 - 11u + 18.

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Q. Factor.

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u^2 - 11u + 18

Identify Coefficients: Identify the coefficients of the quadratic expression. $\newline$ The quadratic expression is $u^2 - 11u + 18$ . In the standard form of a quadratic expression $ax^2 + bx + c$ , the coefficient $a$ is the coefficient of $u^2$ , $b$ is the coefficient of $u$ , and $c$ is the constant term. For our expression, $a = 1$ , $b = -11$ , and $c = 18$ .
Find Multiplying Numbers: Find two numbers that multiply to $c (18)$ and add up to $b (-11)$ . We need to find two numbers that multiply together to give us $18$ and when added together give us $-11$ . 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 $(u - 9)(u - 2)$ , because these factors will multiply to give the original quadratic expression $u^2 - 11u + 18$ .