factor this expression completely
-21x+28
To factor the expression -21x + 28, first, we need to find the greatest common factor (GCF) of the two terms.
The GCF of -21 and 28 is 7.
So we can rewrite the expression as:
-7(3x - 4)
Therefore, the expression -21x + 28 is factored completely as -7(3x - 4).
To factor the expression -21x + 28 completely, you can start by finding the greatest common factor (GCF) of the terms -21x and 28. The GCF of -21x and 28 is 7.
Next, divide both terms by the GCF:
-21x ÷ 7 = -3x
28 ÷ 7 = 4
Now rewrite the expression with the GCF factored out:
-21x + 28 = 7(-3x + 4)
So, the expression -21x + 28 is factored completely as 7(-3x + 4).
To factor the expression -21x + 28 completely, we need to find the greatest common factor (GCF) of the terms -21x and 28.
First, let's find the GCF of the coefficients -21 and 28. The GCF of 21 and 28 is 7.
Now, let's find the GCF of the variables x and 1. Since there is no variable in the second term (28), the GCF of x and 1 is simply x.
Putting it all together, the GCF of -21x and 28 is 7x.
To factor the expression completely, we can rewrite -21x + 28 as the product of the GCF and the remaining terms:
-21x + 28 = 7x(-3) + 7x(4)
Simplifying further:
-21x + 28 = 7x(-3 + 4)
Now, we can factor out the common factor 7x:
-21x + 28 = 7x(4 - 3)
Finally, we can simplify the expression:
-21x + 28 = 7x(1)
So, the completely factored form of -21x + 28 is 7x(1), or simply 7x.