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

(1 point)
Responses

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

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

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

−8(3x−8)

3 answers

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

  1. The coefficients are -24 and 64. The GCF of -24 and 64 is 8 (since we can factor out a -8 to keep a simpler expression).
  2. Factoring out -8, we have: \[ -8(3x - 8) \]

Thus, the complete factorization of the expression \(-24x + 64\) is \(-8(3x - 8)\).

So the correct response is:

−8(3x−8)

Which is the complete factorization of this expression? −20x−5y
(1 point)
Responses

−5(4x−y)
negative 5 times open paren 4 x minus y close paren

−5(4x+y)
negative 5 times open paren 4 x plus y close paren

4(5x−y)
4 times open paren 5 x minus y close paren

5(4x+y)

To factor the expression \(-20x - 5y\), we can look for the greatest common factor (GCF) of the two terms.

  1. The coefficients are -20 and -5. The GCF of -20 and -5 is -5.
  2. Factoring out -5 from the expression: \[ -5(4x + y) \]

Thus, the complete factorization of the expression \(-20x - 5y\) is:

\(-5(4x + y)\).

So the correct response is:

−5(4x+y).