(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.
The Attempt at a Solution
If by no roots, they mean no real roots then I guess:
[tex] f(x) = x^n+1[/tex] 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 :)