Which factorization is equivalent to this expression?

Question

−42k−54

(1 point)
Responses

−6(7k−9)

6(−7k+9)

−6(7k+9)

6(7k+9)

Answer 1

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

The GCF of \(-42k\) and \(-54\) is \(-6\). We can factor out \(-6\):

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

Now, looking at the answer choices provided:

1. \(-6(7k - 9)\)
2. \(6(-7k + 9)\)
3. \(-6(7k + 9)\)
4. \(6(7k + 9)\)

The correct factorization is:

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

Thus, the answer is:

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