00:01
Alright, looking at this situation, i think our polynomial function is 4x cubed plus 5x squared plus 16x plus 20.
00:09
I am going to use synthetic division to help me determine the solution to this problem.
00:19
We are told that 2i is one of our solutions.
00:26
We want to find all the zeros.
00:29
So we're just going to go through that synthetic division process.
00:31
So we get 4 and we have 8i.
00:36
So 4 times 2i is 8i.
00:39
We wind up with 5 plus 8i.
00:45
Then we multiply again.
00:46
We get 10i here.
00:53
And then 2i and 8i is going to be 16i squared.
00:59
Remember i squared is negative 1.
01:02
So we have 10i minus 16...