College

We appreciate your visit to Which of the following shows the polynomial below written in descending order tex 2x 2 4x x 6 8 3x 10 tex A tex 8. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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

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

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

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

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

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

Answer :

To write the polynomial [tex]\(2x^2 - 4x + x^6 + 8 + 3x^{10}\)[/tex] in descending order, you'll want to list the terms from the highest degree to the lowest degree. Here's how you can do that:

1. Identify the terms and their degrees:
- [tex]\(3x^{10}\)[/tex]: degree 10
- [tex]\(x^6\)[/tex]: degree 6
- [tex]\(2x^2\)[/tex]: degree 2
- [tex]\(-4x\)[/tex]: degree 1
- [tex]\(8\)[/tex]: degree 0

2. Reorder the terms by their degrees, from highest to lowest:
- Start with the term with the highest degree: [tex]\(3x^{10}\)[/tex]
- Next, include the term with the second highest degree: [tex]\(x^6\)[/tex]
- Then add the term with the next degree: [tex]\(2x^2\)[/tex]
- Follow with the term of degree 1: [tex]\(-4x\)[/tex]
- Finally, add the constant term: [tex]\(8\)[/tex]

3. Put it all together:
- The polynomial in descending order is: [tex]\(3x^{10} + x^6 + 2x^2 - 4x + 8\)[/tex]

Among the options given, option B matches this order:
B. [tex]\(3x^{10} + x^6 + 2x^2 - 4x + 8\)[/tex]

Therefore, the correct answer is B.

Thanks for taking the time to read Which of the following shows the polynomial below written in descending order tex 2x 2 4x x 6 8 3x 10 tex A tex 8. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada