00:01
Okay, so we need a polynomial to the fourth degree or like an x to the fourth, where those are the zeros, which is very easy to do as long as you know what the zeros mean.
00:12
For instance, let's actually start here.
00:14
If 4 is a 0, then i know x minus 4 could be factored out.
00:18
And if 2 is a 0, x minus 2 could be factored out.
00:22
And if 0 is a 0, x minus 0 can be factored out.
00:28
But i'll say this, x minus zero, that is the same as just writing x.
00:36
Next is x plus 2.
00:40
If i plug into negative 2, that will get me there.
00:43
And i assume they want us to go ahead and simplify this.
00:47
So let's do it real quick.
00:48
I'll just simplify this.
00:49
X times x is x squared.
00:52
Negative 4x, negative 2x leaves me with a negative 6x.
00:56
Negative 4 times negative 2 is a positive 8.
01:00
And you know what? i'm going to do a little trick here.
01:03
Let's take x.
01:05
No, let's do this.
01:05
Let's multiply x times these two...