Which is the complete factorization of this expression? −24x+64
−8(3x−8)
8(2x−8)
−8(x+8)
−8(3x+8)
The complete factorization of the expression −24x+64 is -8(3x-8).
To factorize the expression −24x+64 completely, we need to factor out the greatest common factor (GCF) from both terms.
The GCF of -24x and 64 is 8.
Dividing -24x by 8 gives us -3x, and dividing 64 by 8 gives us 8.
Therefore, the complete factorization of the expression −24x+64 is:
−8(3x−8)
To determine the complete factorization of the expression −24x + 64, we need to find the common factors that can be factored out.
First, let's find the greatest common factor (GCF) of −24 and 64. The GCF of two numbers is the largest number that divides both of them without leaving a remainder. In this case, the GCF is 8.
Next, we need to determine the GCF of the variable x, but in this expression, x does not have any common factors other than 1. So, the GCF of x would just be x.
Now that we have the GCFs of the constants and the variable, we can factor out the GCF from the expression −24x + 64. Factoring out 8 gives us:
8(-3x + 8)
This means that −24x + 64 can be completely factored as:
8(-3x + 8)
Therefore, the correct complete factorization of the expression −24x + 64 is −8(3x − 8).