00:01
So here we have a polynomial and we want to divide it by x minus 3.
00:05
We're going to use synthetic division in order to do this.
00:09
So let's go ahead and start by laying out our synthetic division.
00:13
So because we're dividing by x minus 3, we want to solve x minus 3 equals 0, which means that x equals 3.
00:23
So we'll start by putting 3 in this half a box.
00:26
Then we're going to start writing our coefficients in order.
00:31
Negative one, oops, not negative one, my bad, one, minus 7, 19, and then negative 15.
00:40
And then we draw this fraction bar.
00:43
We're going to start off by bringing down the 1, and then we multiply 1 times 3, and we're going to follow that same pattern.
00:51
Negative 7 plus 3 is negative 4...