Which polynomial could have the following graph?

Step-by-step explanation:

From the given graph, it can be seen that the x intercepts of the graph are

It implies the value of y at the above points must be zero.

[x-intercept is of the form (a,0), where the value of y is zero.]

It implies are the zeroes of the polynomial graphed.

It implies are the factors of the polynomial graphed.

[By Factor theorem]

Thus the polynomials should be :   which is the correct polynomial for the given graph.