The degree of the polynomial function f(x) is 3 the roots of the equation f(x) = 0 are -2, 0, and 3 which graph could be the graph of f(x)?

If the roots of the equation f(x) = 0 are -2, 0, and 3  and the degree of the polynomial function f(x) is 3, then the polynomial has a form

The x-intercepts of the graph of this polynomial function are:

These points are x-intercepts of the graph of the last function (option D).

The last graph at bottom right.

Step-by-step explanation:

We are given the degree of the polynomial function f(x) to be 3; and

the roots of the equation f(x) to be 0 and -2, 0, and 3.

So we will put these values in the polynomial function of degree 3 to get:

According to this, the x - intercepts of this function on the graph will be:

(0, 0)

(-2, 0)

(3, 0)

So we will look for a graph which intercepts the x-axis at these points.

Therefore, the last graph at the bottom right satisfies the conditions and is the graph of f(x).

21/58.

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