To determine the first term of the polynomial 1 + 6x² + 5x⁴ + 3x³ when it is arranged in descending order, we need to identify the term with the highest degree of x.
In the given expression:
- 1 is a constant term (degree 0)
- 6x² has a degree of 2
- 3x³ has a degree of 3
- 5x⁴ has a degree of 4
Among these terms, 5x⁴ has the highest degree, which is 4. Therefore, when we rearrange the polynomial in descending order based on the degree of x, we start with the term that has the highest exponent.
The descending order arrangement of the expression will be:
- 5x⁴
- 3x³
- 6x²
- 1
Thus, the first term in the descending order of the expression is 5x⁴.