Algebra 2 asap
monica wants to find the gcf of the terms of the polynomial p(x)=12x^3y+6y^2+18xy+24x. she sees that each term is divisible by 3.she factors the polynomial as follows: 3x(4x^2y+2y^2+6y+8
did monica correctly factor out the gfc? why or why not?

No, Monica did not correctly factor out the GCF

Step-by-step explanation:

The given expression is

The prime factorization of each term are:

The greatest common factor is the product of the least powers of the common factors.

The greatest common factor is 6.

If we factor the GCF, we obtain:

Therefore Monica did not correctly factor out the GCF