Polynomial is of Exponential Order Epsilon

Theorem
Let $P: \R \to \mathbb{F}$ be a polynomial, where $\mathbb{F} \in \left \{{\R,\C}\right\}$.

Then $P$ is of exponential order $\epsilon$ for any $\epsilon > 0$ arbitrarily small in magnitude.

Proof
Follows from:


 * Identity is of Exponential Order Epsilon: $t \in \mathcal{E}_\epsilon$
 * Product of Functions of Exponential Order: $t^n \in \mathcal{E}_\epsilon$
 * Linear Combination of Functions of Exponential Order