Question

Create a polynomial with a degree greater than 2. Find the zeros of the function.

Answer 1

Construct a polynomial of such form \[(x-a)^n, n\in\mathbb{N} > 2\]
This means that the only root of the polynomial is a.
To do this, we simply multiply it out n times, if we do this with n=3, we get: \[x^3+3ax^2+3a^2x+a^3\]Or, plugging in a=1, we get \[x^3+3x^2+3x+1\] Whose only zero is -1.