Answer:
The polynomial in standard form is given by:
![-4x^5+2x^4+x^3+3x^2+9x](https://img.qammunity.org/2019/formulas/mathematics/middle-school/78twhctksvsckk6obq8cfsjvpdwti1i810.png)
Explanation:
To write a given polynomial in a single variable means to arrange the terms of the polynomial in the decreasing power of the variable i.e. from greatest to the least power of the variable.
Here we have a polynomial in terms of the variable x as follows:
![9x+3x^2-4x^5+x^3+2x^4](https://img.qammunity.org/2019/formulas/mathematics/middle-school/zp5bjhm3qvtnusvcjck2tnuuefsh7mnhjt.png)
Now, we see that the greatest power of the variable is 5 and the least power is 1.
Hence, the arrangement is as follows:
![-4x^5+2x^4+x^3+3x^2+9x](https://img.qammunity.org/2019/formulas/mathematics/middle-school/78twhctksvsckk6obq8cfsjvpdwti1i810.png)