Problem statement: We were told to identify the category wherein the polynomial falls,
To do this, let's write out the given polynomial
[tex]4x(3x-5y+7z+2)=12x^2-20xy+28xz+8x[/tex]
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:
[tex]\begin{gathered} 4x \\ \text{ } \end{gathered}[/tex]
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
