Answer:
![{x}^(7) - 4 {x}^(5) + 2 {x}^(4) + 4 {x}^(3) - 10](https://img.qammunity.org/2020/formulas/mathematics/high-school/tkzezcc940j8q08dzj0ei6n0y3vdzufyst.png)
Explanation:
To write a polynomial in descending order means writing the polynomial in decreasing powers of x.
The given polynomial expresion is
![- 4 {x}^(5) + 4 {x}^(3) + {x}^(7) - 10 + 2 {x}^(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/c1mum360vgc6q65d4x0zpp0pvhvslvrm4w.png)
We start from the term with the highest degree and end with term with the least degree.
![{x}^(7) - 4 {x}^(5) + 2 {x}^(4) + 4 {x}^(3) - 10](https://img.qammunity.org/2020/formulas/mathematics/high-school/tkzezcc940j8q08dzj0ei6n0y3vdzufyst.png)
Therefore the given polynomial written in descending order is
![{x}^(7) - 4 {x}^(5) + 2 {x}^(4) + 4 {x}^(3) - 10](https://img.qammunity.org/2020/formulas/mathematics/high-school/tkzezcc940j8q08dzj0ei6n0y3vdzufyst.png)