Question
in which expression is the coefficient of term n - 1
3n^2 + 4n - 1
-n^2 + 5n +4
-2n^2 - n +5
4n^2 + n - 5
3n^2 + 4n - 1
-n^2 + 5n +4
-2n^2 - n +5
4n^2 + n - 5
Answers
GPT-4o mini
To find the coefficient of the term \( n - 1 \) in the given expressions, we need to identify the coefficient of \( n^1 \) (or \( n \)) in each polynomial.
1. **For the expression \( 3n^2 + 4n - 1 \)**:
- The coefficient of \( n \) is \( 4 \).
2. **For the expression \( -n^2 + 5n + 4 \)**:
- The coefficient of \( n \) is \( 5 \).
3. **For the expression \( -2n^2 - n + 5 \)**:
- The coefficient of \( n \) is \( -1 \).
4. **For the expression \( 4n^2 + n - 5 \)**:
- The coefficient of \( n \) is \( 1 \).
So, the coefficients of the term \( n \) in each expression are:
- \( 3n^2 + 4n - 1 \): Coefficient is **4**
- \( -n^2 + 5n + 4 \): Coefficient is **5**
- \( -2n^2 - n + 5 \): Coefficient is **-1**
- \( 4n^2 + n - 5 \): Coefficient is **1**
If you are looking for the coefficient of \( n - 1 \) specifically (i.e., for \( n \) while ignoring the constant), it's \( 4, 5, -1, 1 \) for the given polynomials. If you mean the coefficient of \( n^1 \) term itself, it translates to simply listing those values as shown above.
1. **For the expression \( 3n^2 + 4n - 1 \)**:
- The coefficient of \( n \) is \( 4 \).
2. **For the expression \( -n^2 + 5n + 4 \)**:
- The coefficient of \( n \) is \( 5 \).
3. **For the expression \( -2n^2 - n + 5 \)**:
- The coefficient of \( n \) is \( -1 \).
4. **For the expression \( 4n^2 + n - 5 \)**:
- The coefficient of \( n \) is \( 1 \).
So, the coefficients of the term \( n \) in each expression are:
- \( 3n^2 + 4n - 1 \): Coefficient is **4**
- \( -n^2 + 5n + 4 \): Coefficient is **5**
- \( -2n^2 - n + 5 \): Coefficient is **-1**
- \( 4n^2 + n - 5 \): Coefficient is **1**
If you are looking for the coefficient of \( n - 1 \) specifically (i.e., for \( n \) while ignoring the constant), it's \( 4, 5, -1, 1 \) for the given polynomials. If you mean the coefficient of \( n^1 \) term itself, it translates to simply listing those values as shown above.