ANSWER
[tex]f(x) =x^3-6x^2-13x+42[/tex]
EXPLANATION
The zeros of the cubic function is given as:
x=7,x=-3,x=2
This implies that, x-7,x+3,x-2 are factors of the given cubic polynomial function.
We can write the completely factored form as a function of x to get:
[tex]f(x) = (x - 7)(x + 3)(x - 2)[/tex]
We expand to get:
[tex]f(x) = (x - 7)(x^2+ x-6)[/tex]
[tex]f(x) =x^3-6x^2-13x+42[/tex]
This is a cubic function because the highest degree is 3.
