Suppose that a polynomial function of degree 5 with rational coefficients has​ 6, −2+4i, 4−sqrt2 as zeros. Find the other zeros.

Thank you!

1 answer

6
-2+4i needs -2-4i
that is three, we need two more but your last one is real, therefore I suspect a typo
perhaps it should be
4 - sqrt-2 which is 4 -i sqrt 2
then we would have
4 - i sqrt2 and 4 + i sqrt 2