Answer:
The answer is (x-2)(x+1).
Step-by-step explanation:
You have to elaborate the expression :
[tex] {x}^{2} - x - 2[/tex]
[tex] {x}^{2} + x - 2x - 2[/tex]
Next you can take out the common terms(factorize) :
[tex] {x}^{2} + x - 2x - 2[/tex]
[tex]x(x + 1) - 2(x + 1)[/tex]
[tex](x - 2)(x + 1)[/tex]