\[\large P(z) = \sum_{n=0}^{5} a_nz^n \sum_{n=0}^{9} b_nz^n \]

where \(a_n, b_n \in \mathbb{R}\) for all \(n\), \(a_5\neq 0\), \(b_9\neq 0\).

Then counting roots with multiplicity we can conclude that \(P(z)\) has \(\text{___________} . \)

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