Question

1. $12w + 24$
2. $4n - 10$
3. $6k + 21$

multiple-choice question
what is the correct factored expression for number 5?
$6(2w + 4)$
$2(6w + 12)$
$12(w + 2)$
$12(w + 24)$
rewatch

Explanation:

Step1: Find GCF of terms

The greatest common factor (GCF) of $12w$ and $24$ is $12$.

Step2: Factor out the GCF

Divide each term by $12$ and factor it out:
$12w + 24 = 12(w + \frac{24}{12}) = 12(w+2)$

Step3: Verify other options

• $6(2w+4)$ can be factored further (GCF of $2w$ and $4$ is $2$), so it is not fully factored.
• $2(6w+12)$ can be factored further (GCF of $6w$ and $12$ is $6$), so it is not fully factored.
• $12(w+24)$ expands to $12w + 288$, which does not match the original expression.

Answer:

C. 12(w+2)