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Answer :
To solve the problem of matching each polynomial expression with its simplified form, let's analyze each expression and understand how they can be paired. Here are the expressions provided:
1. [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex]
2. [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex]
3. [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex]
4. [tex]\(3x^3 - 5x + 10\)[/tex]
The task is to match these expressions with their equivalent simplified forms. In this context, since each expression is already simplified as much as possible, the challenge is to correctly label them:
1. The first expression: [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex]
2. The second expression: [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex]
3. The third expression: [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex]
4. The fourth expression: [tex]\(3x^3 - 5x + 10\)[/tex]
Each expression is uniquely written, and this indicates that there are no further simplifications or combinations that can be applied among them, as they are distinct polynomials.
It's important to notice that they do not simplify further through addition, subtraction, or factorization in this context, since each of them represents a different polynomial with a unique combination of terms.
Thus, each polynomial will directly correspond to the given list without alteration:
1. The polynomial [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex] points to itself.
2. The polynomial [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex] points to itself.
3. The polynomial [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex] points to itself.
4. The polynomial [tex]\(3x^3 - 5x + 10\)[/tex] points to itself.
Each polynomial stays in the order it was given because there's no additional matching required beyond identifying them as they are.
1. [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex]
2. [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex]
3. [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex]
4. [tex]\(3x^3 - 5x + 10\)[/tex]
The task is to match these expressions with their equivalent simplified forms. In this context, since each expression is already simplified as much as possible, the challenge is to correctly label them:
1. The first expression: [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex]
2. The second expression: [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex]
3. The third expression: [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex]
4. The fourth expression: [tex]\(3x^3 - 5x + 10\)[/tex]
Each expression is uniquely written, and this indicates that there are no further simplifications or combinations that can be applied among them, as they are distinct polynomials.
It's important to notice that they do not simplify further through addition, subtraction, or factorization in this context, since each of them represents a different polynomial with a unique combination of terms.
Thus, each polynomial will directly correspond to the given list without alteration:
1. The polynomial [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex] points to itself.
2. The polynomial [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex] points to itself.
3. The polynomial [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex] points to itself.
4. The polynomial [tex]\(3x^3 - 5x + 10\)[/tex] points to itself.
Each polynomial stays in the order it was given because there's no additional matching required beyond identifying them as they are.
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