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Polynomial Summative Assessment

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Name: ______________________________

Test: Polynomials

Date: _______________

Directions: Answer all the questions on this test. You must show all your work and steps to get full credit.
Good luck!
_______________________________________________________________________________________
1.)

Simplify:

Answer: ______________________
_______________________________________________________________________________________

2.)

Find the equation of the polynomial function whose graph is shown above:

____________________________

3.)

Simplify:
(

Answer: ______________________
__________________________________________________________________________________________
4.)

Simplify:

Answer: _________________________
_______________________________________________________________________________________
5.)

For parts (a), (b), and (c), fill in the blanks:

(a)

The right end behavior of the polynomial function above is

________ because the

leading coefficient is equal to ________, which is a(n) ___________ number.


(b)

The left end behavior of the polynomial function above is

________ because the

degree is equal to ________, which is a(n) ___________ number.


(c)

The y-intercept of the polynomial function above is _____________.

(d)

Find the x-intercepts of the polynomial function or write "none" (You must show work!):

x-intercepts: ______________________

6.)

(a)

The degree of the polynomial function above is ___________ (odd or even) because

(b)

The leading coefficient of the polynomial function above is ___________ ( or ) because

__________________________________________________________________________________________
7.)

Simplify:
(

Answer: _________________________
__________________________________________________________________________________________
8.)

Factor:

Answer: ____________________________

9.)

Find the x-intercepts or write "none" (You must show work!):

x-intercepts: ______________________
__________________________________________________________________________________________
10.)

Sketch the graph of a polynomial function whose graph has the following characteristics:
o Leading coefficient is negative
o 3 turning points
o 2 zeros

__________________________________________________________________________________________
11.)

Simplify:
(

)(

Answer: _________________________

12.)

The degree of the polynomial function above is ___________ (odd or even) and must be at least
___________ because...

__________________________________________________________________________________________
13.)

Find the x-intercepts or write "none" (You must show your work!):

x-intercepts: ______________________

14.)

Sketch the graph of the following polynomial function:

)(

)(

__________________________________________________________________________________________

15.) Simplify:

Answer: ______________________

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