Paul's Online Math Notes
Algebra (Assignment Problems) / Preliminaries / Polynomials   [Notes] [Practice Problems] [Assignment Problems]

Notice

On August 21 I am planning to perform a major update to the site. I can't give a specific time in which the update will happen other than probably sometime between 6:30 a.m. and 8:00 a.m. (Central Time, USA). There is a very small chance that a prior commitment will interfere with this and if so the update will be rescheduled for a later date.

I have spent the better part of the last year or so rebuilding the site from the ground up and the result should (hopefully) lead to quicker load times for the pages and for a better experience on mobile platforms. For the most part the update should be seamless for you with a couple of potential exceptions. I have tried to set things up so that there should be next to no down time on the site. However, if you are the site right as the update happens there is a small possibility that you will get a "server not found" type of error for a few seconds before the new site starts being served. In addition, the first couple of pages will take some time to load as the site comes online. Page load time should decrease significantly once things get up and running however.


Paul
August 7, 2018


Algebra - Assignment Problems
  Next Chapter Solving Equations and Inequalities
Radicals Previous Section   Next Section Factoring Polynomials

 Polynomials

For problems 1  18 perform the indicated operation and identify the degree of the result.

 

1. Add   to   

 

2. Add   to   

 

3. Subtract   from   

 

4. Subtract   from    

 

5. Subtract   from    

 

6.   

 

7.   

 

8.   

 

9.   

 

10.   

 

11.   

 

12.   

 

13.   

 

14.   

 

15.   

 

16.   

 

17. Subtract   from   

 

18. Subtract  from   

 

19. If we multiply a polynomial with degree n and a polynomial of degree m what is the degree of the result?

 

20. If we add 2 polynomials of degree n and m with   what is the degree of the result?

 

21. If we subtract 2 polynomials of degree n and m with   what is the degree of the result?

 

22. If we add two polynomials, both of degree n, is it possible for the result to not be degree n?  If it is possible can you give an example of two polynomials, both of degree n, whose sum is not degree n?

 

23. If we subtract two polynomials, both of degree n, is it possible for the result to not be degree n?  If it is possible can you give an example of two polynomials, both of degree n, whose difference is not degree n?

 

Radicals Previous Section   Next Section Factoring Polynomials
  Next Chapter Solving Equations and Inequalities

Algebra (Assignment Problems) / Preliminaries / Polynomials    [Notes] [Practice Problems] [Assignment Problems]

© 2003 - 2018 Paul Dawkins