which factorization is equivalent to this expression

-42k - 54

1 answer

To factor the expression \(-42k - 54\), we can start by finding the greatest common factor (GCF) of the two terms:

  1. The coefficients are -42 and -54.
  2. The GCF of 42 and 54 is 6.

Now, we factor out \(-6\) (the GCF) from each term:

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

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

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