Which is a possible combination of root types for a 7th degree polynomial?

2 rational roots, 2 irrational roots, 3 complex roots

6 rational roots, 1 irrational root

3 irrational roots, 4 complex roots

7 rational roots

1 answer

There is one possible combination of root types for a 7th degree polynomial: 2 rational roots, 2 irrational roots, and 3 complex roots.