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

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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