The correct factor is (x - 2) and (x + 1).
It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
Given
x² - x - 2 = 0 is a quadratic equation.
The factor of the given equation.
x² - x - 2 = 0 is a quadratic equation.
According to factorization,
x² - x - 2 = 0
x² - 2x + x - 2 = 0
x(x - 2) +1 (x - 2) = 0
( x - 2 ) ( x + 1 ) = 0
Thus the correct factor is (x - 2) and (x + 1).
More about the quadratic equation link is given below.
https://brainly.com/question/2263981