What are the least and most amount of distinct zeroes of a 7

What are the least, and most, amount of distinct zeroes of a 7th degree polynomial, given that at least one root is a complex number?

Solution

if one complex root is a + bi, then the other complex root is a - bi.
if at least one root is complex, then you would have a minimum of 2 complex roots with a maximum of 5 real roots.
the equation can have at most 6 complex roots (3 pairs) so the minimum number of real roots is equal to 1.