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The given trinomial can be factored using factorization as

x²-x-12
=x²-4x+3x-12
=x(x-4)+3(x-4)
=(x-4)(x+3)

Thus x-4 and x+3 are the factors of the given trinomial. From these we can see x+3 is listed in option A

So the answer to this question is Option A