The factored form of x^2-x-2 is (x+ a number)(x- a number), as factoring something would be the same as taking two factors of the constant (in this case -2), which also add up to the "b" term- the coefficient of x (in this case -1). Hence, all of the possible numbers that are factors of -2 are -2 and 1 and 1 and -2, and you just have to find the two factors that add up to -1. Your answer will be the numbers that make up the (x+ a number)(x- a number), as your constant is negative so it will have one positive factor and another positive factor, and never two negative or positive factors.
