Determination of Quadratic Expression Coefficient
The general form of a quadratic expression is \( ax^2 + bx + c \). Given the quadratic expression \( 4 - 3x - 2x^2 \), we need to compare this with the general form to find the value of \( a \).
First, rearrange the given expression to match the general form:
\( -2x^2 - 3x + 4 \)
Now, we can see that \( a \), the coefficient of \( x^2 \), is \( -2 \).
Therefore, the value of \( a \) is \( -2 \), which corresponds to option C.