Question

How many complex roots does a 4th degree polynomial have?

Answer 1

could have none
could have two
could have 4

Answer 2

how many real roots does that polynomial have?

Answer 3

Well yes, this function would have two.. right

Answer 4

No, there are at least 2 Real. Count how many times it crosses the x-axis.

Answer 5

yes it has two real ones

Answer 6

therefore, since there are four zeros all together, how many complex ones must it have?

Answer 7

The Complex are not so clear. 2 or 0.

Answer 8

its crosses the x twice

Answer 9

yes it does
so two real zeros and ____ complex ones

Answer 10

two complex ones

Answer 11

bingo