00:01
Find the rational zeros of the function.
00:04
Well, the first thing i'm going to do is apply the rational zeros theorem to find out what the possible rational zeros are.
00:11
And that's where i'm going to take the factors of 1, because that's the last term, over the factors of 2, because that's the leading coefficient.
00:22
So it's going to be plus or minus 1 over plus or minus 1 and plus or minus 2.
00:27
So my possible answers are going to be plus or minus 1, plus or minus one half when i take and i simplify these fractions.
00:36
One over one is one.
00:38
One over two is one half.
00:40
So one of these four is going to be a rational zero.
00:46
So i'm going to start by doing some synthetic division.
00:51
But before i do so, i need to make sure that i have all of my variables.
00:55
So i'm going to have 2x cubed plus 3x squared.
00:58
I need to put in 0 x's minus 1.
01:02
If you don't put that in there, you're not going to get a correct answer.
01:06
My first choice is going to be 1.
01:08
So i want to do synthetic division with 1.
01:10
I want to write down my coefficients.
01:14
That's going to be 2.
01:16
1 times 2 is 2.
01:18
That'll be 5.
01:19
1 times 5 is 5.
01:22
That would be 5, 5, 4.
01:25
So 1 is not a rational 0.
01:28
So i'm going to cross that out...