The polynomial in standard form is given by:
[tex]-4x^5+2x^4+x^3+3x^2+9x[/tex]
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:
[tex]9x+3x^2-4x^5+x^3+2x^4[/tex]
Now, we see that the greatest power of the variable is 5 and the least power is 1.
Hence, the arrangement is as follows:
[tex]-4x^5+2x^4+x^3+3x^2+9x[/tex]