Which of the following shows the polynomial below written in descending order?

[tex]4x^2 - x + 8x^6 + 3 + 2x^{10}[/tex]

A. [tex]3 + 2x^{10} + 8x^6 + 4x^2 - x[/tex]

B. [tex]2x^{10} + 8x^6 + 4x^2 - x + 3[/tex]

C. [tex]8x^6 + 4x^2 + 3 + 2x^{10} - x[/tex]

D. [tex]2x^{10} + 4x^2 - x + 3 + 8x^6[/tex]

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.

Which of the following shows the polynomial below written in descending order?[tex]4x^2 - x + 8x^6 + 3 + 2x^{10}[/tex]A. [tex]3 + 2x^{10} + 8x^6 + 4x^2 - x[/tex]B. [tex]2x^{10} + 8x^6 + 4x^2 - x + 3[/tex]C. [tex]8x^6 + 4x^2 + 3 + 2x^{10} - x[/tex]D. [tex]2x^{10} + 4x^2 - x + 3 + 8x^6[/tex]

Answer :

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