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 4. 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 :
To write the given polynomial [tex]\(5x^3 - x + 9x^7 + 4 + 3x^{11}\)[/tex] in descending order, we'll need to arrange the terms from the highest power of [tex]\(x\)[/tex] to the lowest. Let's go through the steps:
1. Identify the powers of [tex]\(x\)[/tex] in each term:
- [tex]\(3x^{11}\)[/tex] has the highest power, which is 11.
- [tex]\(9x^7\)[/tex] has the next highest power, which is 7.
- [tex]\(5x^3\)[/tex] has a power of 3.
- [tex]\(-x\)[/tex] is actually [tex]\(-1x^1\)[/tex], with a power of 1.
- The term [tex]\(4\)[/tex] is a constant, equivalent to [tex]\(4x^0\)[/tex], with a power of 0.
2. Arrange the terms in descending order based on the power of [tex]\(x\)[/tex]:
- Start with the term that has the highest power, which is [tex]\(3x^{11}\)[/tex].
- Next is the term with the second highest power, [tex]\(9x^7\)[/tex].
- The following term is [tex]\(5x^3\)[/tex].
- Then, the term [tex]\(-x\)[/tex] (written as [tex]\(-1x\)[/tex]) comes next.
- Finally, the constant term [tex]\(4\)[/tex].
3. Write the polynomial in descending order:
- Combining our ordered terms gives us: [tex]\(3x^{11} + 9x^7 + 5x^3 - x + 4\)[/tex].
Therefore, the polynomial written in descending order is [tex]\(3x^{11} + 9x^7 + 5x^3 - x + 4\)[/tex]. The correct option that matches this order is option C.
1. Identify the powers of [tex]\(x\)[/tex] in each term:
- [tex]\(3x^{11}\)[/tex] has the highest power, which is 11.
- [tex]\(9x^7\)[/tex] has the next highest power, which is 7.
- [tex]\(5x^3\)[/tex] has a power of 3.
- [tex]\(-x\)[/tex] is actually [tex]\(-1x^1\)[/tex], with a power of 1.
- The term [tex]\(4\)[/tex] is a constant, equivalent to [tex]\(4x^0\)[/tex], with a power of 0.
2. Arrange the terms in descending order based on the power of [tex]\(x\)[/tex]:
- Start with the term that has the highest power, which is [tex]\(3x^{11}\)[/tex].
- Next is the term with the second highest power, [tex]\(9x^7\)[/tex].
- The following term is [tex]\(5x^3\)[/tex].
- Then, the term [tex]\(-x\)[/tex] (written as [tex]\(-1x\)[/tex]) comes next.
- Finally, the constant term [tex]\(4\)[/tex].
3. Write the polynomial in descending order:
- Combining our ordered terms gives us: [tex]\(3x^{11} + 9x^7 + 5x^3 - x + 4\)[/tex].
Therefore, the polynomial written in descending order is [tex]\(3x^{11} + 9x^7 + 5x^3 - x + 4\)[/tex]. The correct option that matches this order is option C.
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 4. 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
