Factor −15x − 25

using the GCF. (1 point)
Responses

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

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

​​​​​​​5(3x + 5)
5 Left Parenthesis 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 identify the GCF of the coefficients -15 and -25.

The GCF of -15 and -25 is -5.

Now, we can factor -5 out of the expression:

\[ −15x − 25 = -5(3x + 5) \]

However, since we're looking for matching responses, we want to express it in a way that matches the options provided:

\[ −15x − 25 = 5(−3x − 5) \]

This matches with the second response:

5(−3x − 5)

So the correct answer is:

5(−3x − 5)

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