Algebra 2, Chapter 3 Quiz 3



Unit 6: Polynomial and Power Functions Name: _____________________________

Polynomials Non-Calculator Review #1 Date: __________________ Hour: _____

Show all work for full credit. DO NOT USE A CALCULATOR!!!!

Find the zeros of each function. State the multiplicity of repeated any zeros.

1) [pic] 1)______________________

2) [pic] 2)______________________

3) [pic] 3)______________________

4) [pic] 4)______________________

Write a polynomial function in FACTORED form with the given zeros.

5) x = 1, -2, 3 5)__________________________________

6) x = 0, 1 mult 2 6)__________________________________

Given the following graphs, find ALL IMPORTANT INFORMATION. NO CALCULATOR.

7)

Degree:___________

# of Linear Factors:__________

# of Turning Points:__________

ZEROS: (If there is multiplicity include that too.) _____________________________________________________________

Zeros that Cross x – axis Zeros that Touch x – axis TOTAL # of Zeros

_______________________________ _______________________________ __________________

Write the equation for the polynomial in factored form: ________________________________________

Circle any of the following Critical Points, if the graph has them:

Maximum Minimum Relative Maximum Relative Minimum Inflection Point

Complete the statement about end behavior

[pic]______ as [pic]______

[pic]______ as [pic]______

Sketch a graph of the following polynomials. DO NOT USE A CALCULATOR.

8) [pic]

9) [pic]

10) [pic]

Answer the following questions without your calculator!

11)

a) How many turning points are there? a) _____________

b) What is the degree of this polynomial? b) _____________

c) How many touching zeros are there? c) _____________

d) How many crossing zeros are there? d) _____________

e) How many total zeros are there? e) _____________

f) What is the y-intercept? f) _____________

g) What are the zeros? g) _____________

h) Solve for a. h) _____________

i) Write the equation. i) __________________________________

j) What are the critical points? j) __________________________________

(state the coordinates and type of c.p.) _________________________________

k) Describe the end behavior. k) _________________________________

_________________________________

12)

a) How many turning points are there? a) _____________

b) What is the degree of this polynomial? b) _____________

c) How many touching zeros are there? c) _____________

d) How many crossing zeros are there? d) _____________

e) How many total zeros are there? e) _____________

f) What is the y-intercept? f) _____________

g) What are the zeros? g) _____________

h) Solve for a. h) _____________

i) Write the equation. i) __________________________________

j) What are the critical points? j) __________________________________

(state the coordinate and type) _________________________________

k) Describe the end behavior. k) _________________________________

_________________________________

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