00:01
Here on this problem, we want to divide these two polynomials.
00:04
Our only option here is to use long division, and so that's why i went ahead and wrote this out using long division notation.
00:10
You also notice that we were missing an x -cube term here.
00:13
So i went ahead and filled it in with a zero.
00:15
It's important to do that.
00:19
Now x squared goes into x -the -sixth, x to the fourth time, so we put an x -the -fourth up top.
00:27
Multiply down, we have x -the -sixth plus two x to the fourth, and then we subtract these.
00:37
X the 6 minus x the 6 goes away negative 3 x the 5th drops down x the 4th minus 2x the 4th is negative x the 4th and then everything else here also drops down now x squared goes into negative 3x to the 5th negative 3x to the 3rd times and so we multiply down by it we get negative 3x the 5th minus 6x to the 3rd then we subtract these negative 3x the 5th minus negative 3x the 5th goes away negative x the fourth drops down 0 minus negative 6x the 3rd is positive 6x the 3rd then everything else here also drops down now x squared goes into negative x the 4th negative x squared times then we multiply negative x squared down i multiply negative x squared down so that gives us negative x the 4th minus 2x squared and then we subtract these negative x the 4th minus negative x the 4th goes away 6x cubed drops down down.
02:31
Now you have 2x squared minus they have 2x squared goes away...