Which factorization is equivalent to this expression?

Question

−42k−54


(1 point)
Responses

−6(7k−9)
negative 6 times open paren 7 k minus 9 close paren

6(−7k+9)
6 times open paren negative 7 k plus 9 close paren

−6(7k+9)
negative 6 times open paren 7 k plus 9 close paren

6(7k+9)

Answer 1

To factor the expression \(-42k - 54\), we first identify the greatest common factor (GCF) of the two terms.

The GCF of \(-42k\) and \(-54\) is \(-6\).

Now, we can factor out \(-6\) from the expression:

\[ -42k - 54 = -6(7k + 9) \]

So, the equivalent factorization of the expression \(-42k - 54\) is:

\[ -6(7k + 9) \]

Thus, the correct response is:

−6(7k+9).