00:01
Problem 25, it wants us to find all the zeros of this function, p of x.
00:05
To begin, we can write down the rational root theorem.
00:08
This gives us a good basis.
00:10
It's what guesses we should make.
00:15
P are the terms i can divide into 21, nicely.
00:23
And q are the terms i can divide into this hidden coefficient of 1.
00:29
So, divide equally when i say nicely.
00:32
So then we know that p is equal to plus or minus 1, plus or minus 3, plus or minus 7, and i believe plus or minus 21 doesn't have a lot of factors to it.
00:52
And then q is just equal to plus or minus 1.
00:55
So now finally, rr, well, it's essentially, because q is plus or minus 1 here, it's essentially just, well, it's our p's divided by our cues...