. Which is the complete factorization of this expression? −24x+64 (1 point)Responses
The complete factorization of the expression -24x + 64 is:
-8(3x - 8)
To find the complete factorization of the expression −24x+64, we can first identify common factors and then apply the distributive property to factor out any common terms.
Step 1: Identify common factors
The greatest common factor (GCF) of −24x and 64 is 8. This means we can factor out 8 as a common factor.
Step 2: Apply the distributive property
Factoring out 8, we have:
8(-3x + 8)
Step 3: Further factor if possible
Now we look at the expression inside the parentheses, -3x + 8. There are no common factors that can be factored out further, so this is the complete factorization.
Therefore, the complete factorization of the expression −24x+64 is:
8(-3x + 8)
To factorize the expression −24x+64, we need to find the common factors of the given terms and factor them out.
Step 1: First, check if there is any common factor between the two terms. In this case, both terms have a common factor of 8, so we can factor out an 8 from both terms:
−24x + 64 becomes 8(-3x + 8)
Step 2: Now we need to check if the expression (-3x + 8) can be factored further. However, in this case, (-3x + 8) does not have any common factors.
Therefore, the complete factorization of the expression −24x+64 is 8(-3x + 8).