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Answer :
It seems like we are working with some polynomial expressions. Let's take a look at each one and understand what they represent.
1. First Expression: `35x^3 - x^2 + 9x - 9`
- This is a cubic polynomial in terms of [tex]\( x \)[/tex]. It has a degree of 3 because the highest power of [tex]\( x \)[/tex] is 3.
2. Second Expression: `36k^3 + 5k^2 - k - 5`
- This is another cubic polynomial, but this time in terms of [tex]\( k \)[/tex]. Like the first, its degree is 3.
3. Third Expression: `37.4v^3 - 5v^2 - 16v + 20`
- This polynomial is also cubic, in terms of [tex]\( v \)[/tex], and follows the same degree of 3.
4. Fourth Expression: `2x^5 - 18x^4 + 7x - 63`
- This is a quintic polynomial in terms of [tex]\( x \)[/tex], meaning it has a degree of 5 because the highest power of [tex]\( x \)[/tex] is 5.
These expressions are already simplified in their polynomial form. If we consider operations like factoring or expanding polynomials, these tasks would require specific instructions or additional context to know how to process them further.
Therefore, each polynomial is presented in its standard form, and that's why they appear as they do. Understanding these expressions involves recognizing their degree, the variables involved, and the coefficients of each term, which influences their characteristics and behavior in algebraic operations. If more detail or specific transformations are needed, do not hesitate to ask!
1. First Expression: `35x^3 - x^2 + 9x - 9`
- This is a cubic polynomial in terms of [tex]\( x \)[/tex]. It has a degree of 3 because the highest power of [tex]\( x \)[/tex] is 3.
2. Second Expression: `36k^3 + 5k^2 - k - 5`
- This is another cubic polynomial, but this time in terms of [tex]\( k \)[/tex]. Like the first, its degree is 3.
3. Third Expression: `37.4v^3 - 5v^2 - 16v + 20`
- This polynomial is also cubic, in terms of [tex]\( v \)[/tex], and follows the same degree of 3.
4. Fourth Expression: `2x^5 - 18x^4 + 7x - 63`
- This is a quintic polynomial in terms of [tex]\( x \)[/tex], meaning it has a degree of 5 because the highest power of [tex]\( x \)[/tex] is 5.
These expressions are already simplified in their polynomial form. If we consider operations like factoring or expanding polynomials, these tasks would require specific instructions or additional context to know how to process them further.
Therefore, each polynomial is presented in its standard form, and that's why they appear as they do. Understanding these expressions involves recognizing their degree, the variables involved, and the coefficients of each term, which influences their characteristics and behavior in algebraic operations. If more detail or specific transformations are needed, do not hesitate to ask!
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