(C) \(\left(x^{2} / 2\right)-(x / 2)-6\)
Explanation:
Sum of zeroes, \(\alpha+\beta=-3+4=1\)
Product of Zeroes, \(\alpha \beta=-3 \times 4-12\)
Therefore, the quadratic polynomial becomes,
\(x^{2}-(\) sum of zeroes \() x+\) (product of zeroes)
\(=x^{2}-(\alpha+\beta) x+(\alpha \beta)\)
\(=x^{2}-(1) x+(-12)\)
\(=x^{2}-x-12\)
Hence, option (C) is the correct answer.
