Question

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) ?

Answer 1

Answer: C is correct (bottom left graph)

Answer 2

We are given degree of the polynomial function = 3.

Because degree is 3, there should be three x-intercepts of the given graph of the polynomial.

We also given roots of the equation f(x)=0 are −2 , 0, and 3.

Therefore, x intercepts should be at:

(0,0), (-2,0) and (3,0).

In the given options third option shows x-intercepts at 0, -2 and 3.

Therefore, correct option is 3rd option.