The graph is touching the x-axis at x= 2 and is turning away.
When a graph exhibit such a behavior at a root, we say that the multiplicity of the root is 2. So the roots of the polynomial are x = 2 and x = 2. The factors of the polynomial are (x - 2) and (x - 2)
The polynomial thus can be written as product of its factors as (x-2)(x-2)
So the correct answer to this question is option B