The correct option is (D) (x-3)(x+3)
Step-by-step explanation:
The graph intersects the x-axis at x = 3 and x = -3; and the polynomials roots that are responsible of it are -3 and 3. So the polynomial based on those roots are:
(x-3) and
(x+3)
Their product (x-3)(x+3) yields the graph attached with the question.