Which model shows the correct factorization of x2 - x - 2?

Model Number 2

Step-by-step explanation:

Negatives can only go on one side with algebra tiles, plus I had this question on edge.

Answer: The correct factors are

(x-1) and (x+2)

Step-by-step explanation:

Step one:

To factorize the equation

x² - x - 2=0

First we look for numbers that when multiplied will result to the constant term and when added will result to the second term (1x, - 2x)

Step two:

We replace the second term with these factors we have

x² - (x-2x) - 2=0

x²-x+2x-2=0

Factoring the expression we have

x (x-1) + 2 (x-1) = 0

Hence the factors will be

(x-1) and (x+2)