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Classify the following polynomials by degree and number of terms.

1. [tex]\( 6 \)[/tex]
Degree: [tex]\(\qquad\)[/tex] Number of terms: [tex]\(\qquad\)[/tex]

2. [tex]\( -2x \)[/tex]
Degree: [tex]\(\qquad\)[/tex] Number of terms: [tex]\(\qquad\)[/tex]

3. [tex]\( 7x + 1 \)[/tex]
Degree: [tex]\(\qquad\)[/tex] Number of terms: [tex]\(\qquad\)[/tex]

4. [tex]\( x^2 + 2x - 5 \)[/tex]
Degree: [tex]\(\qquad\)[/tex] Number of terms: [tex]\(\qquad\)[/tex]

5. [tex]\( 4x^3 - 8 \)[/tex]
Degree: [tex]\(\qquad\)[/tex] Number of terms: [tex]\(\qquad\)[/tex]

6. [tex]\( 2x^4 - 7x^2 - 5x + 1 \)[/tex]
Degree: [tex]\(\qquad\)[/tex] Number of terms: [tex]\(\qquad\)[/tex]

Sagot :

GinnyAnsweridn
Certainly, let's classify each polynomial based on their degree and the number of terms they have.

### Polynomial 1: [tex]\(6\)[/tex]
1. Degree: The highest power of [tex]\(x\)[/tex] is 0 (since there is no [tex]\(x\)[/tex] term present).
2. Number of Terms: There is only one term.

- Degree: 0
- Number of terms: 1

### Polynomial 2: [tex]\(-2x\)[/tex]
1. Degree: The highest power of [tex]\(x\)[/tex] is 1.
2. Number of Terms: There is only one term.

- Degree: 1
- Number of terms: 1

### Polynomial 3: [tex]\(7x + 1\)[/tex]
1. Degree: The highest power of [tex]\(x\)[/tex] is 1.
2. Number of Terms: There are two terms.

- Degree: 1
- Number of terms: 2

### Polynomial 4: [tex]\(x^2 + 2x - 5\)[/tex]
1. Degree: The highest power of [tex]\(x\)[/tex] is 2.
2. Number of Terms: There are three terms.

- Degree: 2
- Number of terms: 3

### Polynomial 5: [tex]\(4x^3 - 8\)[/tex]
1. Degree: The highest power of [tex]\(x\)[/tex] is 3.
2. Number of Terms: There are two terms.

- Degree: 3
- Number of terms: 2

### Polynomial 6: [tex]\(2x^4 - 7x^2 - 5x + 1\)[/tex]
1. Degree: The highest power of [tex]\(x\)[/tex] is 4.
2. Number of Terms: There are four terms.

- Degree: 4
- Number of terms: 4

In summary, the classification of the polynomials is as follows:
1. [tex]\(6\)[/tex]: Degree 0, 1 term
2. [tex]\(-2x\)[/tex]: Degree 1, 1 term
3. [tex]\(7x + 1\)[/tex]: Degree 1, 2 terms
4. [tex]\(x^2 + 2x - 5\)[/tex]: Degree 2, 3 terms
5. [tex]\(4x^3 - 8\)[/tex]: Degree 3, 2 terms
6. [tex]\(2x^4 - 7x^2 - 5x + 1\)[/tex]: Degree 4, 4 terms
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