00:01
Okay, so i want to use the rational zeros theorem, rational zeros theorem, to find the possible rational zeros.
00:13
That theorem says if i'm going to have these rational zeros in this polynomial, they are going to come from the factors of the constant divided by the factors of the leading coefficient.
00:31
Okay, so in this problem, my constant is 11.
00:38
So i want factors of 11 over factors of 121.
00:48
It doesn't matter that they're positive and negative because we're going to consider the pluses and the minuses.
00:55
And that's because we could get a positive 11 by multiplying 1 times 11.
01:00
We could also get positive 11 by multiplying negative 1 times negative.
01:04
So we include both positives and negatives anyway.
01:09
All right, what are the factors of 11? 11 is prime.
01:13
So it's just plus or minus 1 and plus or minus 11.
01:20
121 is plus or minus 1 plus or minus 11 because 11 squared is 121 and plus or minus 121.
01:32
So now i just want to take these factors individually.
01:36
I want to break up this fraction, so to speak...