Answer :
To match each polynomial expression with its simplified answer, we simply pair them as they already are because they are already in their simplest forms. Let's go through each polynomial expression:
1. Expression: [tex]\(3x^3 - 5x + 10\)[/tex]
- This expression has no like terms to combine and no further simplification is possible.
2. Expression: [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex]
- This is also in its simplest form with no like terms to combine.
3. Expression: [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex]
- Like the others, it is already simplified. There are no like terms to combine here.
4. Expression: [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex]
- This expression is already in its simplest form with no like terms to combine.
Since each polynomial expression is already in its simplified form, we match them directly as they appear. Here is how they correspond:
- [tex]\(3x^3 - 5x + 10\)[/tex] matches with itself.
- [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex] matches with itself.
- [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex] matches with itself.
- [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex] matches with itself.
Thus, the pairings are straightforward:
1. [tex]\(3x^3 - 5x + 10\)[/tex]
2. [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex]
3. [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex]
4. [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex]
Each expression is already simplified completely.
1. Expression: [tex]\(3x^3 - 5x + 10\)[/tex]
- This expression has no like terms to combine and no further simplification is possible.
2. Expression: [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex]
- This is also in its simplest form with no like terms to combine.
3. Expression: [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex]
- Like the others, it is already simplified. There are no like terms to combine here.
4. Expression: [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex]
- This expression is already in its simplest form with no like terms to combine.
Since each polynomial expression is already in its simplified form, we match them directly as they appear. Here is how they correspond:
- [tex]\(3x^3 - 5x + 10\)[/tex] matches with itself.
- [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex] matches with itself.
- [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex] matches with itself.
- [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex] matches with itself.
Thus, the pairings are straightforward:
1. [tex]\(3x^3 - 5x + 10\)[/tex]
2. [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex]
3. [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex]
4. [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex]
Each expression is already simplified completely.
