Let \( \alpha, \beta \in \mathbf{R}, \beta \neq 0 \) and \( \alpha+...

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Let \( \alpha, \beta \in \mathbf{R}, \beta \neq 0 \) and \( \alpha+i \beta \) be a root of \( x^{3}+q x+r=0 \) where \( q, r \in \mathbf{R} \). A cubic equation with real coefficients one of whose roots is \( \alpha \), is
(a) \( x^{3}-q x+r=0 \)
(b) \( 4 x^{3}+2 q x+r=0 \)
(c) \( x^{3}+4 q x-8 r=0 \)
(d) none of these
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