Roots of a polynomial

Algebra Level 4

How many possible non-real complex solution can given polynomial have ?

ax5+bx4+cx3+dx2+ex+f ax^5 + bx^4 + cx^3 + dx^2 + ex + f
where a , b , c , d , e , f\textit{a , b , c , d , e , f} are non-zero real constants.

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