# An algebra problem by Aareyan Manzoor

**Algebra**Level 5

How many zeros does the following function have?

\[P(x)=x^{P(9)}+x^{P(8)}+x^{P(7)}+x^{P(6)}+x^{P(5)}+x^{P(4)}+x^{P(3)}+x^{P(2)}+x^{P(1)}+\dfrac{x}{P(x)}\]

This question is flagged because it seems like we need to make the assumption that \( P(x) \) is a polynomial defined over the complex numbers.