Question

what are the factors of (5x - 25)?
5(x - 5)
5(x + 5)
-5(x - 5)
5(x - 1)

Explanation:

Step1: Identify greatest common factor

The terms $5x$ and $25$ share a greatest common factor of $5$.

Step2: Factor out the GCF

Divide each term by $5$ and rewrite:
$5x - 25 = 5(x - 5)$

Step3: Verify the result

Expand $5(x - 5)$ to check: $5 \cdot x - 5 \cdot 5 = 5x - 25$, which matches the original expression.

Answer:

A. $5(x - 5)$