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Match each polynomial expression to its additive inverse.

1. [tex]\(-6x^2 + x - 2\)[/tex]
2. [tex]\(6x^2 - x + 2\)[/tex]
3. [tex]\(-6x^2 - x - 2\)[/tex]
4. [tex]\(6x^2 + x - 2\)[/tex]
5. [tex]\(6x^2 + x + 2\)[/tex]
6. [tex]\(-6x^2 - x + 2\)[/tex]

Sagot :

GinnyAnswer
To find the additive inverse of a polynomial expression, you simply change the sign of each term in the polynomial. Let's go through each polynomial expression step by step and find its additive inverse.

1. Polynomial: [tex]\(-6x^2 + x - 2\)[/tex]
- Terms: [tex]\(-6x^2\)[/tex], [tex]\(+x\)[/tex], [tex]\(-2\)[/tex]
- Additive inverse: Change the signs of each term
[tex]\[ 6x^2 - x + 2 \][/tex]

2. Polynomial: [tex]\(6x^2 - x + 2\)[/tex]
- Terms: [tex]\(6x^2\)[/tex], [tex]\(-x\)[/tex], [tex]\(+2\)[/tex]
- Additive inverse: Change the signs of each term
[tex]\[ -6x^2 + x - 2 \][/tex]

3. Polynomial: [tex]\(-6x^2 - x - 2\)[/tex]
- Terms: [tex]\(-6x^2\)[/tex], [tex]\(-x\)[/tex], [tex]\(-2\)[/tex]
- Additive inverse: Change the signs of each term
[tex]\[ 6x^2 + x + 2 \][/tex]

4. Polynomial: [tex]\(6x^2 + x - 2\)[/tex]
- Terms: [tex]\(6x^2\)[/tex], [tex]\(+x\)[/tex], [tex]\(-2\)[/tex]
- Additive inverse: Change the signs of each term
[tex]\[ -6x^2 - x + 2 \][/tex]

5. Polynomial: [tex]\(6x^2 + x + 2\)[/tex]
- Terms: [tex]\(6x^2\)[/tex], [tex]\(+x\)[/tex], [tex]\(+2\)[/tex]
- Additive inverse: Change the signs of each term
[tex]\[ -6x^2 - x - 2 \][/tex]

6. Polynomial: [tex]\(-6x^2 - x + 2\)[/tex]
- Terms: [tex]\(-6x^2\)[/tex], [tex]\(-x\)[/tex], [tex]\(+2\)[/tex]
- Additive inverse: Change the signs of each term
[tex]\[ 6x^2 + x - 2 \][/tex]

7. Polynomial: [tex]\(-6x^2 + x - 2\)[/tex]
- Terms: [tex]\(-6x^2\)[/tex], [tex]\(+x\)[/tex], [tex]\(-2\)[/tex]
- Additive inverse: Change the signs of each term
[tex]\[ 6x^2 - x + 2 \][/tex]

8. Polynomial: [tex]\(6x^2 - x + 2\)[/tex]
- Terms: [tex]\(6x^2\)[/tex], [tex]\(-x\)[/tex], [tex]\(+2\)[/tex]
- Additive inverse: Change the signs of each term
[tex]\[ -6x^2 + x - 2 \][/tex]

Now, let's match each polynomial to its additive inverse:

1. [tex]\(-6x^2 + x - 2\)[/tex] -> [tex]\(6x^2 - x + 2\)[/tex]
2. [tex]\(6x^2 - x + 2\)[/tex] -> [tex]\(-6x^2 + x - 2\)[/tex]
3. [tex]\(-6x^2 - x - 2\)[/tex] -> [tex]\(6x^2 + x + 2\)[/tex]
4. [tex]\(6x^2 + x - 2\)[/tex] -> [tex]\(-6x^2 - x + 2\)[/tex]
5. [tex]\(6x^2 + x + 2\)[/tex] -> [tex]\(-6x^2 - x - 2\)[/tex]
6. [tex]\(-6x^2 - x + 2\)[/tex] -> [tex]\(6x^2 + x - 2\)[/tex]
7. [tex]\(-6x^2 + x - 2\)[/tex] -> [tex]\(6x^2 - x + 2\)[/tex]
8. [tex]\(6x^2 - x + 2\)[/tex] -> [tex]\(-6x^2 + x - 2\)[/tex]
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