x^4-4/3x^3 +13/3x^2-16/3x+4/3 1. Enter your polynomial here:     Use the LCD of the fractions to make your polynomial contain only whole numbers     Polynomial without fractions:     Use Geogebra to graph your polynomial.   a. Possible values of p:__________________________________________________   b. Possible values of q:__________________________________________________   c. Possible values of pq:_________________________________________________

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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x^4-4/3x^3 +13/3x^2-16/3x+4/3

1. Enter your polynomial here:

    Use the LCD of the fractions to make your polynomial contain only whole numbers

    Polynomial without fractions:

    Use Geogebra to graph your polynomial.

 

a. Possible values of p:__________________________________________________

 

b. Possible values of q:__________________________________________________

 

c. Possible values of pq:_________________________________________________

 

d. Values of pq for which the function value is zero:____________________________

 

e. Zero(s) from the graph:______________________

 

f. Considering both the table of values and the graph, zeros or roots are identified by…

______________________________________________________________________

______________________________________________________________________

______________________________________________________________________

 

g. Rational roots of:___________________________________

 

h. Does the graph show any zeros that are complex? Explain how you determined this.

_____________________________________________________________________

_____________________________________________________________________

 

i. How do you distinguish the complex zeros from the rational real zeros for a given polynomial?.

_____________________________________________________________________

_____________________________________________________________________

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