00:01
Climb the values of m and m for f of x equals this function, given that x plus when divided by x plus 1, you get a remainder of 0.
00:08
And when divided by x minus 2, you get a remainder of 45.
00:13
So that information here is going to tell us two ordered pairs.
00:18
When we divide by x plus 1, that means we're doing synthetic division with negative 1, and we get a remainder of 0, so that's going to be our y value.
00:28
When we divide by x minus 2, that means we're doing synthetic division with 2, and we get a remainder of 45.
00:37
So that's going to be our y value.
00:39
So we're going to have two ordered pairs here that we can put in for x and y.
00:44
Remember, f of x is the same thing as y.
00:48
So i'm going to say here for the first ordered pair, we'll use this one first.
00:53
Y is zero, and that's going to equal m, and then we're going to have x is negative 1.
00:59
I'm going to put that in so i can have my pin color here.
01:04
So it's going to be plus 20 plus n and minus 35.
01:08
We can simplify that up to be negative m plus 20 minus n minus 35 or 0 equals negative m minus n and minus 15.
01:27
Now we're going to do the same thing.
01:29
With 2 .45.
01:31
I'm going to put 45 in place of y, and then i'm going to put 2 in place of x.
01:36
I'm going to go and do that here, write it three times, and then go fill in everything else...