We have to identify the function which has the same set of potential rational roots as the function
.
Firstly, we will find the rational roots of the given function.
Let 'p' be the factors of 12
So, p= 
Let 'q' be the factors of 3
So, q=
So, the rational roots are given by
which are as:
.
Consider the first function given in part A.
f(x) =
Here also, Let 'p' be the factors of 12
So, p= 
Let 'q' be the factors of 3
So, q=
So, the rational roots are given by
which are as:
.
Therefore, this equation has same rational roots of the given function.
Option A is the correct answer.