Factor-15x - 25 using GCF

Question

A. 5(3x-5)
B. 5(-3x -5)
C. 5(3x+5)
D. 5(-3x+5)

Answer 1

To factor the expression \(-15x - 25\) using the greatest common factor (GCF), we first identify the GCF of the coefficients \(-15\) and \(-25\).

1. The GCF of \(-15\) and \(-25\) is \(-5\).
2. Now, we can factor out \(-5\) from the expression:

\[ -15x - 25 = -5(3x + 5) \]

Now, since we want it in the form of the answers given, we can rewrite:

\[ -5(3x + 5) = 5(-3x - 5) \]

So, the correct answer among the choices provided is:

B. 5(-3x -5)