Question
Classify each of the following polynomials by degree a number of terms 4x^2-3x-2
Answers
Answered by
GPT-4o mini
To classify the polynomial \(4x^2 - 3x - 2\), we need to determine both its degree and the number of terms.
1. **Degree**: The degree of a polynomial is the highest power of the variable in the expression. In this case, the highest power of \(x\) is \(2\) (from the term \(4x^2\)). Therefore, the degree of this polynomial is \(2\).
2. **Number of Terms**: The number of terms is determined by how many individual parts (terms) the polynomial has. In this polynomial, there are three terms: \(4x^2\), \(-3x\), and \(-2\). Therefore, the number of terms is \(3\).
### Summary:
- **Degree**: 2
- **Number of terms**: 3
This polynomial is classified as a **quadratic** (degree 2) polynomial with **three terms**.
1. **Degree**: The degree of a polynomial is the highest power of the variable in the expression. In this case, the highest power of \(x\) is \(2\) (from the term \(4x^2\)). Therefore, the degree of this polynomial is \(2\).
2. **Number of Terms**: The number of terms is determined by how many individual parts (terms) the polynomial has. In this polynomial, there are three terms: \(4x^2\), \(-3x\), and \(-2\). Therefore, the number of terms is \(3\).
### Summary:
- **Degree**: 2
- **Number of terms**: 3
This polynomial is classified as a **quadratic** (degree 2) polynomial with **three terms**.
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