Answer :
The original polynomial given is
[tex]$$
5x^3 - x + 9x^7 + 4 + 3x^{11}.
$$[/tex]
We first identify the terms along with their exponents:
- [tex]$5x^3$[/tex] has exponent 3.
- [tex]$-x$[/tex] has exponent 1.
- [tex]$9x^7$[/tex] has exponent 7.
- [tex]$4$[/tex] has exponent 0.
- [tex]$3x^{11}$[/tex] has exponent 11.
To write the polynomial in descending order, we arrange the terms from the highest exponent to the lowest exponent. The exponents in descending order are: 11, 7, 3, 1, and 0.
So, the rearranged polynomial becomes:
[tex]$$
3x^{11} + 9x^7 + 5x^3 - x + 4.
$$[/tex]
Among the options given, this corresponds to option D.
[tex]$$
5x^3 - x + 9x^7 + 4 + 3x^{11}.
$$[/tex]
We first identify the terms along with their exponents:
- [tex]$5x^3$[/tex] has exponent 3.
- [tex]$-x$[/tex] has exponent 1.
- [tex]$9x^7$[/tex] has exponent 7.
- [tex]$4$[/tex] has exponent 0.
- [tex]$3x^{11}$[/tex] has exponent 11.
To write the polynomial in descending order, we arrange the terms from the highest exponent to the lowest exponent. The exponents in descending order are: 11, 7, 3, 1, and 0.
So, the rearranged polynomial becomes:
[tex]$$
3x^{11} + 9x^7 + 5x^3 - x + 4.
$$[/tex]
Among the options given, this corresponds to option D.
