Factor this expression completely.

Question

−21x+28
(1 point)
Responses

−7(3x−4)
negative 7 times open paren 3 x minus 4 close paren

−7(3x+4)
negative 7 times open paren 3 x plus 4 close paren

7(3x−4)
7 times open paren 3 x minus 4 close paren

−(21x−4)

Answer 1

To factor the expression \(-21x + 28\) completely, we start by identifying the greatest common factor (GCF) of the two terms, \(-21x\) and \(28\).

The GCF of \(-21\) and \(28\) is \(7\). However, since we want to factor out a negative, we will factor out \(-7\).

Here are the steps:

1. Factor out \(-7\): \[ -7(3x - 4) \]

This gives us the factored form of the expression.

Therefore, the correct response is: \[ \text{-7(3x - 4)} \]