Chapter 6 - Section 6.2 - Factoring Trinomials of the Form x2+bx+c - Vocabulary and Readiness Check - Page 428: 8

$x^{2}$ - 13x + 22 = (x - 2) (x - 11) Answer is -11

$x^{2}$ - 13x + 22 = (x - 2) (x - 11) We need such factors that the product is 22, and their sum is -13. But, one factor is given $\rightarrow$ -2. Thus the other factor is $\frac{22}{-2}$ = -11. Since (-11)(-2) = 22, and (-11) + (-2) = -13, -11 is the other factor.