Question

Algebra 2 please help ASAP

Answer 1

Answer:

No, Monica did not correctly factor out the GCF

Step-by-step explanation:

The given expression is $12x^3+6y^2+18xy+24x$

The prime factorization of each term are:

$12x^3y=2^2\times3\times x^3\times y$

$6y^2=2\times3\times y^2$

$18xy=2\times3^2\times x\times y$

$24x=2^3\times3\times x$

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

$GCF=2\times3=6$

The greatest common factor is 6.

If we factor the GCF, we obtain:

$6(2x^3+6y^2+3xy+4)$

Therefore Monica did not correctly factor out the GCF