Question

How do you find a polynomial function that has zeros -2, -1, 0, 1, 2?

Answer 1

`x^5 -5x^3 +4x`

Explanation:

The polynomial function would consist of factors `(x+2)(x+1) x (x-1)(x-2)`

On simplification it would be `x (x^2-1) (x^2 -4)`

Or, `x(x^4-5x^2 +4)`

Or `x^5 -5x^3 +4x`