The given trinomial is expressed as
x^2 - 4x - 12
This is a quadratic expression. We would apply the method of factorisation. To do this, we would find two terms such that their sum or difference is - 4x and their product is - 12x^2. The terms are 2x and - 6x. Thus, the expression becomes
x^2 + 2x - 6x - 12
x(x + 2) - 6(x + 2)
(x - 6)(x + 2)
Thus, the correct option is option 4
