Question

factor 24x - 64 using the gcf; 6(4x - 12); 8(3x - 8); 12(2x - 5); 24(x - 3)

Explanation:

Step1: Find GCF of 24 and 64

Prime factors of 24: $24 = 2^3 \times 3$
Prime factors of 64: $64 = 2^6$
GCF is $2^3 = 8$.

Step2: Factor out GCF from $24x - 64$

Divide each term by 8:
$\frac{24x}{8} - \frac{64}{8} = 3x - 8$
So, $24x - 64 = 8(3x - 8)$.

Answer:

B. 8 (3x - 8)