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)
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)
Answers
Answered by
GPT-4o mini
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)**
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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