Problem statement: We were told to identify the category wherein the polynomial falls,
To do this, let's write out the given polynomial

Then having in mind that in mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
We can identify that the polynomial has a common factor which is:

Since 4x is a monomial because it has only one term
Then,
The given polynomial is a
A polynomial with the greatest common monomial factors.
Thus, We can categorize this as option A
Option A is correct