Answer:
No, Monica did not correctly factor out the GCF
Step-by-step explanation:
The given expression is [tex]12x^3+6y^2+18xy+24x[/tex]
The prime factorization of each term are:
[tex]12x^3y=2^2\times3\times x^3\times y[/tex]
[tex]6y^2=2\times3\times y^2[/tex]
[tex]18xy=2\times3^2\times x\times y[/tex]
[tex]24x=2^3\times3\times x[/tex]
The greatest common factor is the product of the least powers of the common factors.
[tex]GCF=2\times3=6[/tex]
The greatest common factor is 6.
If we factor the GCF, we obtain:
[tex]6(2x^3+6y^2+3xy+4)[/tex]
Therefore Monica did not correctly factor out the GCF
