Which is the complete factorization of this expression? −24x+64

Question

(1 point)
Responses

−8(x+8)
negative 8 times open paren x plus 8 close paren

−8(3x+8)
negative 8 times open paren 3 x plus 8 close paren

8(2x−8)
8 times open paren 2 x minus 8 close paren

−8(3x−8)

Answer 1

To factor the expression \(-24x + 64\), we first look for the greatest common factor (GCF) of the two terms.

The coefficients are -24 and 64. The GCF of 24 and 64 is 8.

Thus, we can factor out -8 from the expression:

\[ -24x + 64 = -8(3x - 8) \]

This is the complete factorization of the expression. Therefore, the correct response is:

\(-8(3x - 8)\)