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Factor −15x − 25

using the GCF. (1 point)
Responses

​​​​​​​5(3x + 5)
5 Left Parenthesis 3 x plus 5 Right Parenthesis

​​​​​​​5(3x − 5)
5 Left Parenthesis 3 x minus 5 Right Parenthesis

​​​​​​​5(−3x + 5)
5 Left Parenthesis negative 3 x plus 5 Right Parenthesis

​​​​​​​5(−3x − 5)

1 answer

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

  1. The GCF of -15 and -25 is 5.
  2. Next, we can factor out the GCF from the given expression:

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

However, since we typically express the factorization with a positive GCF, we can factor out -5 instead:

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

Thus, the correct factorization is:

\(-5(3x + 5)\)

None of your options match this exactly, but the closest based on the structure provided is \(5(−3x − 5)\), as it represents "\(-5\)" factored out in terms of a negative factor.

So the correct choice is:

\[ 5(−3x − 5) \]