See screenshot below​

B only

Step-by-step explanation:

well to solve this question we can consider factor theorem which states that if a Polynomial f(x) is divided by a monomial x-a then x-a is a factor of f(x) if and only if f(a)=0

and to figure "a " we can consider the following equation:

substitute the given value of a:

therefore,

plugin the value of x to the function A(x):

simplify which yields:

since A(2)≠0 x-2 is not a factor of A(x)

similarly substitute the value of x to the function B(x) which yields:

simplify:

so, B(2)=0 Hence x-2 is a factor of x³-x-6

substitute the value of x to the function C(x)

simplify:

as C(2)≠0 x-2 is not a factor of C(x)

likewise plugin the value of x to the function D(x):

simplify and that yields:

therefore,D(2)≠0 hence,x-2 isn't a factor of D(-2)

The factor

we have find the value of x .

Now,

we have to select all the polynomial which has x-2 As a factor.

According to the question,

The option B is correct.

add an image !

step-by-step explanation: