Answer:
x + 1
Step-by-step explanation:
(x² − x − 2) / (x − 2)
Factor the numerator. Using the AC method:
ac = (1)(-2) = -2
Factors of -2 that add up to -1 are -2 and 1
Divide by a and reduce: -2/1 and 1/1
The factors are (x − 2) and (x + 1)
(x − 2) (x + 1) / (x − 2)
Divide:
x + 1
