Coefficient of `x ^(2)` in `4x ^(3) - 2x ^(2) + 2x -3` are

Options

A. 6
B. `-2`
C. 3
D. `-3`

Answer

To find the coefficient of \( x^2 \) in the expression \( 4x^3 - 2x^2 + 2x - 3 \), we can follow these steps:

1. **Identify the expression**: The given expression is \( 4x^3 - 2x^2 + 2x - 3 \).

2. **Locate the term with \( x^2 \)**: We need to find the term that contains \( x^2 \). In the expression, the term with \( x^2 \) is \( -2x^2 \).

3. **Extract the coefficient**: The coefficient is the numerical factor in front of the \( x^2 \) term. In this case, the coefficient of \( x^2 \) in the term \( -2x^2 \) is \( -2 \).

4. **State the result**: Therefore, the coefficient of \( x^2 \) in the expression \( 4x^3 - 2x^2 + 2x - 3 \) is \( -2 \).

### Final Answer:
The coefficient of \( x^2 \) is \( -2 \).