To solve the problem, we first need to understand the terms we have: 8, 2x², 4x⁴, and 7x³. We will arrange these terms in descending order based on the degree of their variable.
Let’s identify the degrees of each term:
- 8 has a degree of 0 (it’s a constant).
- 2x² has a degree of 2.
- 4x⁴ has a degree of 4.
- 7x³ has a degree of 3.
Now, listing them in order from highest to lowest degree, we get:
- 4x⁴ (degree 4)
- 7x³ (degree 3)
- 2x² (degree 2)
- 8 (degree 0)
The terms arranged in descending order are: 4x⁴, 7x³, 2x², 8.
Therefore, the 4th term in this arranged list is 8.