Factor this expression completely.
−21x+28
The expression −21x+28 can be factored as -7(3x-4).
To factor the expression −21x+28 completely, we can first find the greatest common factor (GCF) of the coefficients −21 and 28, which is 7:
GCF of −21 and 28 = 7
Next, we can factor out the GCF from the expression −21x+28:
7(-3x+4)
Therefore, the expression −21x+28 can be factored completely as 7(-3x+4).
To factor the expression completely, we need to find the greatest common factor (GCF) of the coefficients and variable terms.
First, let's look at the coefficients, -21 and 28. The GCF of these two numbers is 7 because 7 is the largest number that evenly divides both -21 and 28.
Next, let's look at the variable terms. The common variable between -21x and 28 is x.
Now, let's factor out the GCF from both terms:
-21x + 28 = 7(-3x + 4)
So, the completely factored form of the given expression is 7(-3x + 4).