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Answer :
To write the given polynomial in descending order, we'll arrange the terms by the powers of [tex]\(x\)[/tex], starting from the highest power down to the lowest.
Given polynomial: [tex]\(3x^{11} + 9x^7 + 5x^3 - x + 4\)[/tex]
Let's identify each term by its power of [tex]\(x\)[/tex]:
1. [tex]\(3x^{11}\)[/tex] has the highest power, which is 11.
2. [tex]\(9x^7\)[/tex] is next with power 7.
3. [tex]\(5x^3\)[/tex] follows with power 3.
4. [tex]\(-x\)[/tex] can be written as [tex]\(-1x^1\)[/tex], with power 1.
5. The constant term [tex]\(4\)[/tex] can be thought of as [tex]\(4x^0\)[/tex], with power 0.
We will place these terms in descending order of their powers:
1. [tex]\(3x^{11}\)[/tex]
2. [tex]\(9x^7\)[/tex]
3. [tex]\(5x^3\)[/tex]
4. [tex]\(-x\)[/tex]
5. [tex]\(+4\)[/tex]
Putting them together, we get the polynomial written in descending order:
[tex]\(3x^{11} + 9x^7 + 5x^3 - x + 4\)[/tex]
So, the correct expression in descending order is:
A. [tex]\(3x^{11} + 9x^7 + 5x^3 - x + 4\)[/tex]
Given polynomial: [tex]\(3x^{11} + 9x^7 + 5x^3 - x + 4\)[/tex]
Let's identify each term by its power of [tex]\(x\)[/tex]:
1. [tex]\(3x^{11}\)[/tex] has the highest power, which is 11.
2. [tex]\(9x^7\)[/tex] is next with power 7.
3. [tex]\(5x^3\)[/tex] follows with power 3.
4. [tex]\(-x\)[/tex] can be written as [tex]\(-1x^1\)[/tex], with power 1.
5. The constant term [tex]\(4\)[/tex] can be thought of as [tex]\(4x^0\)[/tex], with power 0.
We will place these terms in descending order of their powers:
1. [tex]\(3x^{11}\)[/tex]
2. [tex]\(9x^7\)[/tex]
3. [tex]\(5x^3\)[/tex]
4. [tex]\(-x\)[/tex]
5. [tex]\(+4\)[/tex]
Putting them together, we get the polynomial written in descending order:
[tex]\(3x^{11} + 9x^7 + 5x^3 - x + 4\)[/tex]
So, the correct expression in descending order is:
A. [tex]\(3x^{11} + 9x^7 + 5x^3 - x + 4\)[/tex]
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