Answer :
Final answer:
The greatest common factor of 48x^2 and 32x^3 is 16x^2, found by determining the largest number and power of x that divides into both terms evenly.
Explanation:
The greatest common factor of 48x2 and 32x3 is the highest number and the highest power of x that can be divided evenly into both terms. To find this, we have to factor both the coefficients and the variables separately.
First, let's factor the coefficients. The numbers 48 and 32 can both be divided by the largest common factor, which is 16. Now, for the variable part, since we're dealing with x2 and x3, the highest power of x that is common in both terms is x2.
Therefore, the greatest common factor of 48x2 and 32x3 is 16x2.
