If \( \alpha \) and \( \beta \) are the zeroes of the quadratic pol...

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If \( \alpha \) and \( \beta \) are the zeroes of the quadratic polynomial \( f(x)=2 x^{2}+4 x+k \) such that \( \alpha^{2}+\beta^{2}+\alpha \beta=\frac{21}{4} \), the value of \( k \) is:
(a) \( -2 \)
(b) 0
(c) \( -\frac{5}{2} \)
(d) \( \frac{5}{2} \)
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