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 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 :
To write the polynomial in descending order, we need to rearrange its terms so that the exponents of the variable [tex]\( x \)[/tex] are sorted from highest to lowest. Let's analyze the polynomial:
The given polynomial is:
[tex]\[ 2x^2 - 4x + x^6 + 8 + 3x^{10} \][/tex]
Now, let's identify the terms along with their exponents:
- [tex]\( 3x^{10} \)[/tex] has an exponent of 10.
- [tex]\( x^6 \)[/tex] has an exponent of 6.
- [tex]\( 2x^2 \)[/tex] has an exponent of 2.
- [tex]\( -4x \)[/tex] has an exponent of 1.
- [tex]\( 8 \)[/tex] is a constant term with an implicit exponent of 0.
To write the polynomial in descending order, we need to order the terms from the highest exponent to the lowest:
1. Start with the term [tex]\( 3x^{10} \)[/tex] (highest exponent 10)
2. Next, [tex]\( x^6 \)[/tex] (exponent 6)
3. Then, [tex]\( 2x^2 \)[/tex] (exponent 2)
4. Then, [tex]\( -4x \)[/tex] (exponent 1)
5. Finally, [tex]\( 8 \)[/tex] (constant term)
After arranging the terms, the polynomial in descending order is:
[tex]\[ 3x^{10} + x^6 + 2x^2 - 4x + 8 \][/tex]
This matches option A:
A. [tex]\( 3x^{10} + x^6 + 2x^2 - 4x + 8 \)[/tex]
Therefore, the correct answer is A.
The given polynomial is:
[tex]\[ 2x^2 - 4x + x^6 + 8 + 3x^{10} \][/tex]
Now, let's identify the terms along with their exponents:
- [tex]\( 3x^{10} \)[/tex] has an exponent of 10.
- [tex]\( x^6 \)[/tex] has an exponent of 6.
- [tex]\( 2x^2 \)[/tex] has an exponent of 2.
- [tex]\( -4x \)[/tex] has an exponent of 1.
- [tex]\( 8 \)[/tex] is a constant term with an implicit exponent of 0.
To write the polynomial in descending order, we need to order the terms from the highest exponent to the lowest:
1. Start with the term [tex]\( 3x^{10} \)[/tex] (highest exponent 10)
2. Next, [tex]\( x^6 \)[/tex] (exponent 6)
3. Then, [tex]\( 2x^2 \)[/tex] (exponent 2)
4. Then, [tex]\( -4x \)[/tex] (exponent 1)
5. Finally, [tex]\( 8 \)[/tex] (constant term)
After arranging the terms, the polynomial in descending order is:
[tex]\[ 3x^{10} + x^6 + 2x^2 - 4x + 8 \][/tex]
This matches option A:
A. [tex]\( 3x^{10} + x^6 + 2x^2 - 4x + 8 \)[/tex]
Therefore, the correct answer is A.
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 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
