Answer:
The correct option is 4.
Solution:
The degree of the polynomial function is 3, hence it will have 3 solution.
The root of the equation of f(x) are the values where the function f(x) crosses the x axis. In this case it is given that the roots of the function f(x) =0 are -2, 0, 3
.
So, the function will touch the x axis in three points which are -2. 0 and 3. The equation can be [tex](x+2)\timesx\times(x-3)[/tex]. Here in the given options, the [tex]4^{th}[/tex] option the line is crossing on these three points. So, the correct option is 4.
