Answer: The correct option is (C) 2 + 3y.
Step-by-step explanation: We are given to select the expression that is a factor of the following expression :
[tex]E=3xy+2x-18y-12.[/tex]
To select the correct factor, first we need to factorize the given expression.
The factorization is as follows :
[tex]E\\\\=3xy+2x-18y-12\\\\=x(3y+2)-6(3y+2)\\\\=(x-6)(3y+2)\\\\=(x-6)(2+3y).[/tex]
Thus, the required factors of the given expression are (x - 6) and (3y + 2).
The correct option is (C) 2 + 3y.
