College Algebra
Answer/Discussion to Practice Problems
Tutorial 36:Long Division
Answer/Discussion
to 1a


*Write in descending order 
Note that the "scratch work" that you see
at the right of the long division shows you how that step is filled in.
It shows you the "behind the scenes" of how each part comes about. 
We keep going until we can not divide anymore.
We just follow the the same steps 2  4 as shown above. Our "new
dividend" is always going to be the last line that was found in step 4. 
The following is the scratch work (or behind
the scenes if you will) for the rest of the problem. You
can see everything put together following the scratch work under "putting
it all together". This is just to show you how the different pieces
came about in the final answer. When you work a problem like this,
you don't necessarily have to write it out like this. You can have
it look like the final product shown after this scratch work. 
Scratch work for steps 2, 3, and 4
for the last two terms of the quotient
2nd term:
3rd term:


Putting it all together:
Note that each second line is SUBTRACTED, so
the line shows what the signs of each term would be when you subtract it.


*Quotient with a remainder of 32 
Answer/Discussion
to 1b


*Write in descending order
*Insert 0's for missing terms 
Note that the "scratch work" that you see
at the right of the long division shows you how that step is filled in.
It shows you the "behind the scenes" of how each part comes about. 
We keep going until we can not divide anymore.
We just follow the the same steps 2  4 as shown above. Our "new
dividend" is always going to be the last line that was found in step 4. 
The following is the scratch work (or behind
the scenes if you will) for the rest of the problem. You
can see everything put together following the scratch work under "putting
it all together". This is just to show you how the different pieces
came about in the final answer. When you work a problem like this,
you don't necessarily have to write it out like this. You can have
it look like the final product shown after this scratch work. 
Scratch work for steps 2, 3, and 4
for the last three terms of the quotient
2nd term:
3rd term:
4th term:


Putting it all together:
Note that each second line is SUBTRACTED, so
the line shows what the signs of each term would be when you subtract it.


*Quotient with no remainder 
Last revised on March 15, 2010 by Kim Seward.
All contents copyright (C) 2002  2012, WTAMU and Kim Seward. All rights reserved.

