(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(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.

2. Relevant equations

N/A

3. 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 :)

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# Homework Help: Poly function of degree n with no roots

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