Question

3 multiple choice 1 point
use the gcf to factor $24+6x$.
$6(4 +x)$
$2(12 +3x)$
$3(8 +2x)$
$6(4 +6x)$
4 multiple choice 1 point

Explanation:

Step1: Find GCF of 24 and 6

The greatest common factor of 24 and 6 is 6, since $24=6\times4$ and $6=6\times1$.

Step2: Factor out the GCF

Divide each term by 6 and place it outside parentheses:
$24 + 6x = 6\times4 + 6\times x = 6(4 + x)$

Step3: Verify other options

• $2(12+3x)$: 2 is not the GCF, and the expression inside can still be factored.
• $3(8+2x)$: 3 is not the GCF, and the expression inside can still be factored.
• $6(4+6x)$: Incorrect division of $6x$ by 6 (should be $x$, not $6x$).

Answer:

A. 6(4 +x)