# Real or Complex ???

Algebra Level 4

If $$a,b,c$$ are real numbers in the polynomial $$P(Z)=2Z^{4} + aZ^{3} + bZ^{2} + cZ + 3,$$ and two roots of the equation $$P(Z)=0$$ are $$2$$ and $$i,$$ what is the value of $$a?$$

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