Real or Complex ???

Algebra Level 4

If a,b,ca,b,c are real numbers in the polynomial P(Z)=2Z4+aZ3+bZ2+cZ+3,P(Z)=2Z^{4} + aZ^{3} + bZ^{2} + cZ + 3, and two roots of the equation P(Z)=0P(Z)=0 are 22 and i,i, what is the value of a?a?

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