Factor. j^2 - 13j + 22 ______

Identify Variables: Identify a, b, and c in the quadratic expression j^2 - 13j + 22. The quadratic expression is in the form of aj^2 + bj + c. For our expression, a = 1, b = -13, and c = 22.Find Multiplying Numbers: Find two numbers that multiply to ac (which is a * c) and add up to b. Since a = 1, ac = 1 * 22 = 22. We need two numbers that multiply to 22 and add up to -13. The numbers that satisfy these conditions are -11 and -2 because (-11) * (-2) = 22 and (-11) + (-2) = -13.Write Factored Form: Write the factored form using the two numbers found in Step 2. The factored form of the quadratic expression is (j - 11)(j - 2).

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j^2 - 13j + 22

Identify Variables: Identify $a$ , $b$ , and $c$ in the quadratic expression $j^2 - 13j + 22$ . The quadratic expression is in the form of $aj^2 + bj + c$ . For our expression, $a = 1$ , $b = -13$ , and $c = 22$ .
Find Multiplying Numbers: Find two numbers that multiply to $ac$ (which is $a \times c$ ) and add up to $b$ . $\newline$ Since $a = 1$ , $ac = 1 \times 22 = 22$ . We need two numbers that multiply to $22$ and add up to $-13$ . The numbers that satisfy these conditions are $-11$ and $-2$ because $(-11) \times (-2) = 22$ and $a \times c$ $0$ .
Write Factored Form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression is $(j - 11)(j - 2)$ .