When \( x^{3}+3 x^{2}+4 x+a \) is divided by \( (x+2) \), the remainder is zero. Find the value ...

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When \( x^{3}+3 x^{2}+4 x+a \) is divided by \( (x+2) \), the remainder is zero. Find the value of \( a \).
(a) 4
(b) 6
(c) \( -8 \)
(d) \( -12 \)
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