Question

which of the following expressions is the factored form of $8x - 28$ using the greatest common factor?
a $8(x - 28)$
b $8(x - 3)$
c $4(x - 7)$
d $4(2x - 7)$

Explanation:

Step1: Find GCF of 8 and 28

Factors of 8: \(1, 2, 4, 8\)
Factors of 28: \(1, 2, 4, 7, 14, 28\)
GCF is \(4\).

Step2: Factor out GCF from \(8x - 28\)

Divide each term by \(4\):
\(8x \div 4 = 2x\), \(28 \div 4 = 7\)
So, \(8x - 28 = 4(2x - 7)\).

Answer:

D. \(4(2x - 7)\)