# Foundations, part 5

Algebra Level 4

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

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 $$\text{___________} .$$

For more, Try this set

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