Which is the complete factorization of this expression
-24x + 64
The complete factorization of -24x + 64 is 8(8 - 3x).
To factorize the expression -24x + 64, you can simplify it by finding the greatest common factor (GCF) and then factoring it out.
Step 1: Find the GCF of -24x and 64.
The GCF of -24x and 64 is 8 because both terms are divisible by 8.
Step 2: Divide -24x and 64 by 8.
(-24x / 8) = -3x
(64 / 8) = 8
Step 3: Rewrite the expression using the GCF.
The expression can be written as:
8(-3x + 8)
Therefore, the complete factorization of the expression -24x + 64 is 8(-3x + 8).
To factorize the expression -24x + 64, we need to find common factors, if any, that are common to both terms.
The greatest common factor (GCF) of -24x and 64 is 8, since both -24 and 64 are divisible by 8.
So, we can first factor out the GCF of 8:
8(-3x + 8)
Now, let's look at the expression -3x + 8. We need to further factorize it.
Unfortunately, -3x + 8 cannot be factored any further because the terms -3x and 8 do not have any common factors other than 1.
Therefore, the complete factorization of the expression -24x + 64 is:
8(-3x + 8)