# Poly function of degree n with no roots

Dafe

## Homework Statement

(a) If n is even find a polynomial function of degree n with n roots.
(b) If n is odd find one with only one root.

N/A

## The Attempt at a Solution

If by no roots, they mean no real roots then I guess:
$$f(x) = x^n+1$$ would work for both even and odd n's.
The roots would be i and -i if n is even, and -1, and two complex roots if it's odd..

Suggestions are very welcome :)