Answer:
see below
Explanation:
The graph will cross the x-axis at x=a when (x-a) is a factor of the polynomial. Here, the graph crosses at x=-2, 1, and 3, so factors of the polynomial are ...
The graph has a flat spot at x=1, but crosses the axis there, so the multiplicity of that factor will be an odd number greater than 1. (Odd, because the sign of the function changes there. Greater than 1 because the slope is zero there.)
The only answer choice that matches these requirements is the factorization ...
(x +2)(x -1)³(x -3)