## Fermat's Theorem

1. $(\phi_a) :$ $\mathbb{Z}_5$ [x] $\ \rightarrow \ (\mathbb{Z}_5)$ be an evaluation homonophism. Use Fermat's Theorem to evaluate $\phi_3(x^{231} + 3x^{117} - 2x^{53} +1)$.
2. Use Fermat's Theorem to final all zeros in
$\mathbb{Z}_5$ of $2x^{219} + 3x^{74} + 2x^{57} + 3x^{44}.$

thanks !