HSC Extension 1 and 2 Mathematics/3-Unit/Preliminary/Polynomials

A polynomial is any curve that can be described by the set of numbers $$\{a_0,a_1,...,a_n\}$$ such that $$f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0$$, or alternatively
 * $$f(x) = \sum_{k=0}^n a_kx^k$$