Final answer:
To factor the expression 12x^2+30 using the greatest common factor (GCF), we identify the common factors, rewrite the expression, and check for further factorization.
Step-by-step explanation:
To factor the expression 12x^2+30 using the greatest common factor (GCF), we first identify the common factors of both terms. In this case, both terms have a common factor of 6. So we can rewrite the expression as 6(2x^2+5).
Next, we look for any common factors within the parentheses. In this case, there are no common factors between 2x^2 and 5. Therefore, we cannot further factor the expression.
So, the factored form of 12x^2+30 using the GCF is 6(2x^2+5).