I try to code a method to solve 16th degree polynomial in computer given equation
$a_0x^{16} + a_1x^{15} + a_2x^{14} + ... + a_{16}$
In fact it should be array of $a[n]$ to solve this $a_0x^n + a_1x^{n-1} + a_2x^{n-2} + ... + a_n$ equation
I want to write a function that could solve at least 16 terms. I have read from many source to know that there would not be algebraic solution exist. But are there any solution at all? And can any of it be written in computer code?
Also by coding I don't limit to only float number. It could return multiple complex or quaternion if needed