Polynomial Worksheet

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Polynomial   Q uiz   R eview  
Sections   6 .1-­‐6.3  
 
1. Write   t he   p olynomial   i n   s tandard   f orm.     T hen   c lassify   i t   b y   d egree   a nd   b y  
!
!
!
number   o f   t erms:     ��
− ��
+ 2��
 
2. Find   t he   c ubic   m odel:     ( 0,-­‐12),(1,10),(2,4),(3,42)  
3. Find   t he   c ubic   m odel   a nd   e stimate   t he   v alue   o f   y   w hen   x =17:     ( -­‐1,-­‐3),(0,0),  
(1,-­‐1),(2,0)  
4. Simplify.     C lassify   t he   r esult   b y   n umber   o f   t erms.     ( x+1)(x-­‐1)(x+2)  
 
Find   t he   z eros   a nd   s tate   t he   m ultiplicity   o f   m ultiple   z eros.  
!
5. �� = �� − 2
(x-­‐1)  
!
6. �� �� = ��
− 36��  
 
Find   t he   r elative   m ax,   r elative   m in,   a nd   z eros   o f   e ach   f unction.  
!
!
7. �� �� = −��
+ 16��
− 76�� + 96  
 
Write   a   p olynomial   f unction   i n   s tandard   f orm   w ith   t he   g iven   z eros.  
8. x=   -­‐ 2,   0 ,   1  
 
Divide   b y   u sing   s ynthetic   d ivision.  
!
9. (��
− 28�� − 48) ÷ (�� + 4)  
 
Use   t he   r emainder   t heorem   t o   e valuate   t he   f unction.     ( Hint:     F ind   t he   r emainder.)  
 
!
        1 0.     �� �� = ��
− 26�� + 7   a t   x =5  

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