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The given trinomial can be factored using the factorization method.
x² - 2x - 24
The middle term should be written is such a way that the sum of two terms is equal to the middle one and their product should be equal to the product of first and third term. So the above expression can be written as
= x² -6x + 4x - 24
= x(x-6) + 4(x-6)
= (x-6)(x+4)
Thus, (x-6)(x+4) is the factored form of the polynomial.
So the correct answer is option B

Your answer will be choice B:  to prove this we can multiply the two binomials:
(x - 6)(x + 4) = x² + 4x - 6x - 24 = x² - 2x - 24

The answer is the third choice