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:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus