Question

Why is it not possible for a function defined by a polynomial of degree 4 with real coefficients to have zeroes of 2, 3, 5, and 1+i?

Answer 1

imaginary zeros always come in pairs if that 1+i was in there then 1-i must also be there, that would make 5 zeros for a 4 degree poly which is not possible

Answer 2

@bkeith2698

Answer 3

Ah....I feel really dumb that I couldn't think of that/remember that on the test.....
Thanks @ehuman

Answer 4

no problem