We appreciate your visit to Which of the following shows the polynomial below written in descending order tex 3x 3 9x 7 x 4x 12 tex A tex 3x 3. 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 solve this problem, we need to arrange the terms of the polynomial [tex]\( 3x^3 + 9x^7 - x + 4x^{12} \)[/tex] in descending order based on the power of [tex]\( x \)[/tex]. Let's do this step-by-step:
1. Identify the terms and their corresponding powers:
- [tex]\( 3x^3 \)[/tex] has a power of 3.
- [tex]\( 9x^7 \)[/tex] has a power of 7.
- [tex]\( -x \)[/tex] (or equivalently, [tex]\( -1x^1 \)[/tex]) has a power of 1.
- [tex]\( 4x^{12} \)[/tex] has a power of 12.
2. Arrange these terms in descending order from the highest power to the lowest power:
- The highest power here is 12, so we place [tex]\( 4x^{12} \)[/tex] first.
- The next highest power is 7, so [tex]\( 9x^7 \)[/tex] comes next.
- Following that, the next highest power is 3, so [tex]\( 3x^3 \)[/tex] is placed after [tex]\( 9x^7 \)[/tex].
- Finally, the term with the lowest power (1) is [tex]\( -x \)[/tex].
3. Combining these terms, we obtain the polynomial in descending order as:
[tex]\[
4x^{12} + 9x^7 + 3x^3 - x
\][/tex]
Thus, the polynomial in descending order is [tex]\( 4x^{12} + 9x^7 + 3x^3 - x \)[/tex].
Therefore, the correct option is:
[tex]\[
\boxed{D. \, 4x^{12} + 9x^7 + 3x^3 - x}
\][/tex]
1. Identify the terms and their corresponding powers:
- [tex]\( 3x^3 \)[/tex] has a power of 3.
- [tex]\( 9x^7 \)[/tex] has a power of 7.
- [tex]\( -x \)[/tex] (or equivalently, [tex]\( -1x^1 \)[/tex]) has a power of 1.
- [tex]\( 4x^{12} \)[/tex] has a power of 12.
2. Arrange these terms in descending order from the highest power to the lowest power:
- The highest power here is 12, so we place [tex]\( 4x^{12} \)[/tex] first.
- The next highest power is 7, so [tex]\( 9x^7 \)[/tex] comes next.
- Following that, the next highest power is 3, so [tex]\( 3x^3 \)[/tex] is placed after [tex]\( 9x^7 \)[/tex].
- Finally, the term with the lowest power (1) is [tex]\( -x \)[/tex].
3. Combining these terms, we obtain the polynomial in descending order as:
[tex]\[
4x^{12} + 9x^7 + 3x^3 - x
\][/tex]
Thus, the polynomial in descending order is [tex]\( 4x^{12} + 9x^7 + 3x^3 - x \)[/tex].
Therefore, the correct option is:
[tex]\[
\boxed{D. \, 4x^{12} + 9x^7 + 3x^3 - x}
\][/tex]
Thanks for taking the time to read Which of the following shows the polynomial below written in descending order tex 3x 3 9x 7 x 4x 12 tex A tex 3x 3. 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
