00:01
Okay, in this problem, they tell you that you have the roots of negative 1, 4, and 4 plus 3i.
00:10
But they also tell you that it's 4th degree.
00:12
So what you also have to know is that 4 minus 3i is also a root.
00:17
So you have to turn these into factors.
00:20
So minus 1 turns into x plus 1, 4 turns into x minus 4.
00:25
4 turns 4 plus 3 i turns into x minus 4 minus 3 i 4 minus 3 i turns into x minus 4 plus 3 i and then i'm going to foil each of these out so x squared minus 4x plus 1x minus 4 so that's x squared minus 3x minus 4.
00:54
And then with this one, i'm going to, oops, let me erase.
01:04
I'm going to do this a little slow.
01:05
So this x times x is x squared.
01:09
X times negative 4 is negative 4x.
01:12
X times 3i is plus 3ix.
01:17
Then i'm going to erase this.
01:19
Then i'm going to do negative 4 times x is positive.
01:25
Negative, oh, sorry, negative 4x, eraser, negative 4x.
01:36
And then negative 4 times negative 4 is positive 16.
01:41
And then negative 4 times 3i is negative 12i.
01:48
And then let's erase that.
01:53
Okay...