Question
2) -1 The type of the given polynomial is: A Monomial B Binomial C Trinomial D Polynomial Its degree is: Enter your answer
Ask by Ross Vaughn. in the United States
Mar 11,2025
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Answer
The polynomial \(-1\) is a **monomial** and its degree is **0**.
Solution
To analyze the given polynomial, we need to identify its type and degree.
1. **Identify the type of polynomial:**
- A **monomial** is a polynomial with one term (e.g., \(3x\)).
- A **binomial** is a polynomial with two terms (e.g., \(x + 2\)).
- A **trinomial** is a polynomial with three terms (e.g., \(x^2 + x + 1\)).
- A **polynomial** is a general term that can refer to any number of terms.
The given polynomial is \(-1\), which is a single term. Therefore, it is classified as a **monomial**.
2. **Determine the degree of the polynomial:**
- The degree of a polynomial is the highest power of the variable in the polynomial. Since \(-1\) does not contain any variable, we consider its degree to be \(0\).
### Conclusion:
- The type of the polynomial is: **A Monomial**
- Its degree is: **0**
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Simplify this solution The Deep Dive
The given polynomial is simply -1, which is a constant. Since it contains only one term, it classifies as a monomial. As for its degree, the degree of a constant is 0. So, you would say: Monomial, Degree: 0. Just remember, a monomial can be a single number or variable, and constants like -1 fit snugly into that definition as they can be represented as \( -1x^0 \)!
