Question
2. Write down the coefficient of \( x \) : \( 3 x^{2}+7 x-1 \) a) e) \( 6 x-2+4 y^{2}+4 x^{2} \) e)
Ask by Colon Elliott. in South Africa
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The coefficient of \( x \) in the first expression is **7**, and in the second expression, it is **6**.
Solution
To determine the coefficient of \( x \) in the given expressions, let's analyze each one separately.
### 1. For the expression \( 3x^{2} + 7x - 1 \):
- **Term containing \( x \)**: \( 7x \)
- **Coefficient of \( x \)**: **7**
### 2. For the expression \( 6x - 2 + 4y^{2} + 4x^{2} \):
- **Term containing \( x \)**: \( 6x \) and \( 4x^{2} \)
- **Note**: \( 4x^{2} \) is a term with \( x^{2} \), so it doesn't contribute to the coefficient of \( x \).
- **Coefficient of \( x \)**: **6**
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**Summary:**
1. **First Expression (\( 3x^{2} + 7x - 1 \))**:
- **Coefficient of \( x \)**: **7**
2. **Second Expression (\( 6x - 2 + 4y^{2} + 4x^{2} \))**:
- **Coefficient of \( x \)**: **6**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
The coefficient of \( x \) in the expression \( 3 x^{2}+7 x-1 \) is \( 7 \). This means that if you were to visualize each part of this polynomial, the term with \( x \) is multiplied by 7, giving it special importance in the overall expression. In the expression \( 6 x-2+4 y^{2}+4 x^{2} \), the coefficient of \( x \) is \( 6 \). So, whenever you're working with polynomials, identifying these coefficients is key—a little like finding treasure in a math treasure hunt!
