Which is the complete factorization of this expression? −24x+64
The complete factorization of the expression −24x+64 is 8(8-3x).
that's wrong
Apologies for the previous incorrect response. Let's factorize the expression −24x+64 correctly.
Step 1: Factor out the greatest common factor (GCF) of the two terms, which is 8:
−24x + 64 = 8(-3x + 8)
Step 2: The expression (-3x + 8) cannot be further factored as it does not have any common factors other than 1.
Therefore, the complete factorization of −24x+64 is 8(-3x + 8).
that's wrong
Apologies again for the confusion. Let's factorize the expression −24x+64 correctly.
Step 1: Start by looking for common factors among the coefficients of the terms. In this case, both -24 and 64 are divisible by 8, so we can factor out 8:
−24x + 64 = 8(-3x + 8)
Step 2: Now, let's focus on factoring the expression (-3x + 8). Since there are no common factors other than 1, it cannot be factored any further.
Therefore, the complete factorization of −24x+64 is 8(-3x + 8).
To factorize the expression −24x+64, we can first look for common factors in the two terms. In this case, both terms have a common factor of 8, so we can factor that out:
−24x + 64 = 8(-3x + 8)
Now, let's look at the expression inside the parentheses, (-3x + 8). This is a binomial that cannot be factored further, so the factorization is complete:
−24x + 64 = 8(-3x + 8)
To find the complete factorization of the expression -24x+64, we need to factor out the greatest common factor (GCF) from the terms and then look for further factorization.
1. First, let's find the GCF of -24x and 64. The GCF is the largest number or term that divides both terms evenly. In this case, the GCF is 8 because it divides both -24x and 64.
2. Next, we factor out the GCF from each term:
-24x + 64 = 8(-3x) + 8(8)
3. Now we can see that the expression can be further simplified as:
-24x + 64 = 8(-3x + 8)
Therefore, the complete factorization of the expression -24x + 64 is 8(-3x + 8).