Factor this expression completely.
−21x+28 (1 point)
Responses
−7(3x−4)
−7(3x+4)
7(3x−4)
−(21x−4)
−7(3x−4)
To factor the expression completely, we need to find the greatest common factor (GCF) of the terms. In this case, the GCF of -21x and 28 is 7.
So, we can start by factoring out 7 from both terms:
-21x + 28 = 7(-3x + 4)
Therefore, the completely factored expression is:
-7(3x - 4)
To factor the expression −21x + 28 completely, you need to look for the greatest common factor (GCF) of the terms. In this case, the GCF of -21x and 28 is 7.
Step 1: Find the GCF.
The GCF of -21x and 28 is 7.
Step 2: Divide each term by the GCF.
-21x / 7 = -3x
28 / 7 = 4
Step 3: Write the factored form using the GCF.
Using the GCF of 7, the factored form of −21x + 28 is:
−7(3x - 4).
Therefore, the correct response is:
−7(3x - 4).