The graph touches the x-axis at x = 4 and is turning away. This means that the graph has even multiplicity at x = 4.
So, the roots of the polynomial are x = 4 and x = 4 and the factors of the polynomial are x - 4 and x - 4. The polynomial can be expressed as the product of its factors. So the given polynomial can be expressed as (x - 4)(x - 4).
The correct answer to this question is option D