00:02
We want to divide x to the fifth and i'm going to throw in a zero x to the fourth for space minus x to the third plus zero x squared plus x minus five by x minus two so we'll start the process divide the first terms x to the fifth divided by x is x to the fourth we'll place that above the fourths and then we distribute x to the fifth minus 2x to the fourth and then we subtract x of the fifths cancel 0 minus negative 2 is positive 2x to the fourth bring down the next term repeat 2x of the 4th divided by x is 2x to the 3rd distribute the 2x to the 3rd we get 2x to the 4th minus 4x to the 3rd subtract the 2x of the 4th cancel negative 1 minus negative 4 is negative 1 plus 4 or 3x cubed.
01:08
Drop down the next term.
01:13
And repeat, 3x to the 3rd divided by x is 3x squared.
01:20
Distribute, we get 3x to the 3rd minus 6x squared.
01:30
Subtract, 3x cubes cancel.
01:32
0 minus negative 6 is positive 6x squared.
01:35
Drop down the next term x.
01:37
Repeat again 6x squared divided by x is 6x.
01:43
Distribute the 6x, you get 6x squared minus 12x.
01:50
Subtract the 6x squares are gone.
01:52
1x minus negative 12 is 1 plus 12 or 13x.
01:57
Bring down the last term of minus 5.
02:00
13x divided by x is plus 13.
02:03
Distribute, we get 13x minus 26.
02:09
Subtract one last time.
02:11
The 13 x is gone...