Unit Two Test Review

Name   _ ____________________________                                   P eriod   _ _________                                  

  D ate_________________  

OTL   1 2   –   U nit   T wo   T est   R eview   -­‐   N o   C alculator   P ermitted  

 

 

 

Level   1  

Level   2  

Level   3  

Level   4  

 

I   c an   u se   t he   L eading  

•

I   c an   f actor   a   p olynomial  

I   c an   i dentify   t he   c orrect  

I   c an   f actor   a   p olynomial  

•

•

•

U2PI6  

Coefficient   T est   t o  

equation   w ith   r ational  

y-­‐intercept   a nd   t he  

equation   w ith   r ational  

Graph   h igher  

determine   t he   e nd  

zeros.  

leading   c oefficient   ��  

and   i rrational   z eros.  

order  

behavior   o f   h igher   o rder  

when   g raphing  

I   c an   u se   r ational   z eros  

I   c an   u se   r ational   a nd  

•

•

polynomials.  

polynomials   a nd   d escribe  

polynomial   f unctions   o r  

and   t heir   m ultiplicities   t o  

irrational   z eros   a nd   t heir  

end   b ehavior   u sing   l imit  

when   w riting   e quations  

approximate   g raphs   o f  

multiplicities   t o  

notation.    

for   p olynomials   f rom  

polynomial   f unctions.  

approximate   g raphs   o f  

graphs.    

polynomial   f unctions.  

 

 

1. Sketch   t he   g raph   o f   t he   f ollowing   p olynomial   f unctions.   I dentify   a ll   z eros   o n   t he   g raph.       ( Use   a dditional   p oints   t o   s ketch  

an   a ccurate   g raph!)    

 

!

!

!

�� �� =  – 2��³   +  6��²   −  

��    

 

 

 

 

�� �� = −��

− 5��

   

!

 

 

2. Sketch   t he   g raph   o f   a   p olynomial   f unction   w ith   r eal   z eros     a t     − 2, −2, −3, 0  

 

 

Level   1  

Level   2  

Level   3  

Level   4  

U2PI7  

I   c an   i dentify   t he   z eros   o f  

•

I   c an   a pply   t he   R emainder  

I   c an   u se   t he   I ntermediate  

I   c an   f ind   t he   r eal   z eros   o f  

•

•

•

Identifying  

a   p olynomial   f unction  

and   F actor   T heorems.    

Value   T heorem   t o   h elp  

any   p olynomial  

real   ( rational  

using   L ong   o r   S ynthetic  

locate   z eros   o f   p olynomial  

algebraically   a nd   u se   t he  

I   c an   u se   t he   R ational  

•

&   i rrational)  

Division.      

functions.  

zeros,   e nd   b ehavior   a nd  

Zero   T est   t o   d etermine  

zeros   o f  

 

additional   p oints   t o  

possible   r ational   z eros   o f  

I   c an   u se   D escartes’   R ule  

•

higher   o rder  

 

sketch   a   g raph   o f   t he  

polynomial   f unctions.  

of   S igns   a nd   t he   U pper  

polynomials.  

function.  

and   L ower   B ound   R ules   t o  

 

find   z eros   o f   p olynomials.  

 

 

3. Given   ��(��)   =  ��³   +  ��²–  4��  –  4.      

 

Identify   a ll   z eros   u sing   �� �� = 0   n otation:       _ ________________________________  

Write   �� ��   i n   c ompletely   f actored   f orm:     _ ________________________________  

 

 

 

!

!

4. Given   �� �� =  2��

+  3��

–  8�� + 3.      

 

Identify   a ll   z eros   u sing   �� �� = 0   n otation:       _ ________________________________  

Write   �� ��   i n   c ompletely   f actored   f orm:     _ ________________________________  

 

 

 

!

!

!

5. Algebraically,   d etermine   w hether   ��

+ 1   i s   a   f actor   o f   �� �� = 3��

− 2��

+ 8.