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Algebra (Assignment Problems) / Polynomial Functions / Zeroes/Roots of Polynomials   [Notes] [Practice Problems] [Assignment Problems]

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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
Common Graphs Previous Chapter   Next Chapter Exponential and Logarithm Functions
Dividing Polynomials Previous Section   Next Section Graphing Polynomials

 Zeroes/Roots of Polynomials

For problems 1  6 list all of the zeros of the polynomial and give their multiplicities.

 

1.   

 

2.   

 

3.   

 

4.   

 

5.   

 

6.   

 

For problems 7  11  is a root of the given polynomial.  Find the other two roots and write the polynomial in fully factored form.

 

7.   ;   

 

8.   ;    

 

9.   ;      

 

10.   ;      

 

11.   ;    

 

For problems 12  14 determine the smallest possible degree for a polynomial with the given zeros and their multiplicities.

 

12.  (multiplicity 1),  (multiplicity 1),  (multiplicity 1)

 

13.  (multiplicity 4),  (multiplicity 1)

 

14.  (multiplicity 2),  (multiplicity 7),  (multiplicity 5)

 

15. A 7th degree polynomial has roots  (multiplicity 2) and  (multiplicity 1).  What is the maximum number of remaining roots for the polynomial?

 

Dividing Polynomials Previous Section   Next Section Graphing Polynomials
Common Graphs Previous Chapter   Next Chapter Exponential and Logarithm Functions

Algebra (Assignment Problems) / Polynomial Functions / Zeroes/Roots of Polynomials    [Notes] [Practice Problems] [Assignment Problems]

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