We appreciate your visit to Which of the following shows the polynomial below written in descending order tex 5x 3 x 9x 7 4 3x 11 tex A tex 3x. 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!
Answer :
Sure, let's put the polynomial in descending order. The given polynomial is:
[tex]\[ 5x^3 - x + 9x^7 + 4 + 3x^{11} \][/tex]
To write this polynomial in descending order, we need to arrange the terms starting with the highest power of [tex]\( x \)[/tex] down to the lowest power (or constant term).
1. Identify the terms with their powers:
- [tex]\( 3x^{11} \)[/tex] (highest power is 11)
- [tex]\( 9x^7 \)[/tex] (next highest power is 7)
- [tex]\( 5x^3 \)[/tex] (next power is 3)
- [tex]\( -x \)[/tex] (power is 1)
- [tex]\( 4 \)[/tex] (constant term or power 0)
2. Order the terms by decreasing power:
- Start with the term with the highest power: [tex]\( 3x^{11} \)[/tex]
- Followed by the next highest: [tex]\( 9x^7 \)[/tex]
- Then [tex]\( 5x^3 \)[/tex]
- Followed by [tex]\( -x \)[/tex]
- Lastly, the constant term: [tex]\( 4 \)[/tex]
So, the polynomial in descending order is:
[tex]\[ 3x^{11} + 9x^7 + 5x^3 - x + 4 \][/tex]
Now, let's match this with the given options:
A. [tex]\( 3x^{11} + 9x^7 + 5x^3 - x + 4 \)[/tex]
This matches our ordered polynomial. Therefore, the correct answer is option A.
[tex]\[ 5x^3 - x + 9x^7 + 4 + 3x^{11} \][/tex]
To write this polynomial in descending order, we need to arrange the terms starting with the highest power of [tex]\( x \)[/tex] down to the lowest power (or constant term).
1. Identify the terms with their powers:
- [tex]\( 3x^{11} \)[/tex] (highest power is 11)
- [tex]\( 9x^7 \)[/tex] (next highest power is 7)
- [tex]\( 5x^3 \)[/tex] (next power is 3)
- [tex]\( -x \)[/tex] (power is 1)
- [tex]\( 4 \)[/tex] (constant term or power 0)
2. Order the terms by decreasing power:
- Start with the term with the highest power: [tex]\( 3x^{11} \)[/tex]
- Followed by the next highest: [tex]\( 9x^7 \)[/tex]
- Then [tex]\( 5x^3 \)[/tex]
- Followed by [tex]\( -x \)[/tex]
- Lastly, the constant term: [tex]\( 4 \)[/tex]
So, the polynomial in descending order is:
[tex]\[ 3x^{11} + 9x^7 + 5x^3 - x + 4 \][/tex]
Now, let's match this with the given options:
A. [tex]\( 3x^{11} + 9x^7 + 5x^3 - x + 4 \)[/tex]
This matches our ordered polynomial. Therefore, the correct answer is option A.
Thanks for taking the time to read Which of the following shows the polynomial below written in descending order tex 5x 3 x 9x 7 4 3x 11 tex A tex 3x. 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!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
