Answer
(b - 8)(b - 3)
Work Step by Step
First, list all pairs of numbers that multiply to 24, the "c" in this equation:
1,24
2,12
3,8
4,6
Next, determine which pair adds up to 11, the "b" in this equation. In this case, 3 + 8 = 11.
Because the "b" in this equation is negative, 3 and 8 also need to be negative so that they add up to -11. Plugging in -3 and -8, we get:
(b - 3)(b - 8)
This fits our requirements, because -3 + -8 = -11, and (-3) x (-8) = 24, so this is our answer.
