Answer :
To arrange the polynomial
[tex]$$4x^2 - x + 8x^6 + 3 + 2x^{10}$$[/tex]
in descending order, we first identify each term along with its exponent:
- [tex]$2x^{10}$[/tex] has an exponent of 10.
- [tex]$8x^6$[/tex] has an exponent of 6.
- [tex]$4x^2$[/tex] has an exponent of 2.
- [tex]$-x$[/tex] has an exponent of 1.
- [tex]$3$[/tex] has an exponent of 0.
Next, we write the polynomial by placing the terms in order from the highest exponent to the lowest:
[tex]$$2x^{10} + 8x^6 + 4x^2 - x + 3.$$[/tex]
This corresponds to the third option provided.
[tex]$$4x^2 - x + 8x^6 + 3 + 2x^{10}$$[/tex]
in descending order, we first identify each term along with its exponent:
- [tex]$2x^{10}$[/tex] has an exponent of 10.
- [tex]$8x^6$[/tex] has an exponent of 6.
- [tex]$4x^2$[/tex] has an exponent of 2.
- [tex]$-x$[/tex] has an exponent of 1.
- [tex]$3$[/tex] has an exponent of 0.
Next, we write the polynomial by placing the terms in order from the highest exponent to the lowest:
[tex]$$2x^{10} + 8x^6 + 4x^2 - x + 3.$$[/tex]
This corresponds to the third option provided.