Question
Find the number of terms and the degree of this polynomial.
9c^4 + c^3 - c^2 - 4c - 7
9c^4 + c^3 - c^2 - 4c - 7
Answers
GPT-4o mini
To find the number of terms and the degree of the polynomial \(9c^4 + c^3 - c^2 - 4c - 7\), let's analyze the polynomial:
1. **Identifying the terms:**
The polynomial can be broken down into individual terms:
- \(9c^4\)
- \(c^3\)
- \(-c^2\)
- \(-4c\)
- \(-7\)
There are a total of 5 terms in this polynomial.
2. **Finding the degree:**
The degree of a polynomial is defined as the highest power of the variable in the polynomial. Here, the term with the highest power is \(9c^4\), which has a degree of 4.
In summary:
- The number of terms in the polynomial is **5**.
- The degree of the polynomial is **4**.
1. **Identifying the terms:**
The polynomial can be broken down into individual terms:
- \(9c^4\)
- \(c^3\)
- \(-c^2\)
- \(-4c\)
- \(-7\)
There are a total of 5 terms in this polynomial.
2. **Finding the degree:**
The degree of a polynomial is defined as the highest power of the variable in the polynomial. Here, the term with the highest power is \(9c^4\), which has a degree of 4.
In summary:
- The number of terms in the polynomial is **5**.
- The degree of the polynomial is **4**.