Factor −27h + 6

Question

using the GCF. (1 point)
Responses

​​​​​​​3(−9h + 2)
3 Left Parenthesis negative 9 h plus 2 Right Parenthesis

​​​​​​​3(−9h − 2)
3 Left Parenthesis negative 9 h minus 2 Right Parenthesis

​​​​​​​3(9h − 2)
3 Left Parenthesis 9 h minus 2 Right Parenthesis

​​​​​​​3(9h + 2)

Answer 1

To factor the expression \(-27h + 6\) using the greatest common factor (GCF), we first need to find the GCF of the coefficients \(-27\) and \(6\).

1. The factors of \(-27\) are: \(-1, -3, -9, -27, 1, 3, 9, 27\).
2. The factors of \(6\) are: \(-1, -2, -3, -6, 1, 2, 3, 6\).

The GCF of \(-27\) and \(6\) is \(3\).

Next, we factor out \(3\) from the expression:

\[ -27h + 6 = 3(-9h + 2) \]

Thus, the factored form of the expression is:

\[ 3(-9h + 2) \]

So, the correct response is:

3(−9h + 2).