Unit Two Test Review Page 2
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U2PI8
I
c an
u se
t he
i maginary
I
c an
u se
c omplex
I
c an
a pply
t he
I
c an
f ind
a ll
z eros
o f
a ny
•
•
•
•
Graphing
unit
“ I”
t o
w rite
c omplex
conjugates
t o
w rite
t he
Fundamental
T heorem
o f
higher
o rder
p olynomial
polynomials
numbers.
quotient
o f
t wo
c omplex
Algebra
t o
d etermine
t he
(real
a nd
c omplex)
b y
with
r eal
a nd
numbers
i n
s tandard
number
o f
z eros
o f
a
factoring
a nd
c an
s ketch
I
c an
u se
c ommutative,
•
complex
z eros
form.
polynomial
f unction.
the
r esulting
g raph.
associative
a nd
(Fund.
distributive
p roperties
t o
I
c an
f ind
a ll
z eros
o f
•
Theorem
o f
add,
s ubtract
a nd
polynomial
f unctions
Algebra).
multiply
c omplex
including
c omplex
z eros.
numbers.
6. Simplify
e ach
r adical
u sing
i maginary
n umbers.
!
a.
−16
b.
−7
c.
−54
d.
−16 ∙ −2
e.
��
7. Find
a
p olynomial
f unction
w ith
r eal
c oefficients
( in
s tandard
f orm)
t hat
h as
t he
g iven
z eros.
a.
− 2, −2, −5��
b.
4 , − 4, − 6 + 2��, − 6 – 2��
c.
0 , 3 ± 2
d.
5 + 2��, �� 3
!
!
8. Write
t he
p olynomial
�� �� = ��
+ 2��
− 8
i n
c ompletely
f actored
f orm.
!
!
9. Find
a ll
p ossible
z eros
o f
t he
f unction
�� �� = 2��
− 5��
+ 10�� − 12.
!
!
10. Given
�� �� = 2��
− 3��
+ 16�� – 24.
Identify
a ll
z eros
u sing
�� (��) = 0
n otation:
_ ________________________________
Identify
a ll
x -‐intercepts:
_ ________________________________
Write
�� ��
i n
c ompletely
f actored
f orm:
_ ________________________________
!
!
11. Given
�� �� = 8��
− 14��
+ 18��– 9.
Identify
a ll
z eros
u sing
�� (��) = 0
n otation:
_ ________________________________
Identify
a ll
x -‐intercepts:
_ ________________________________
Write
�� ��
i n
c ompletely
f actored
f orm:
_ ________________________________
!
!
!
!
12. Given
�� �� = 5��
+ 14��
+ 8��
+ 10��
+ 3��– 4
a nd
�� ±�� = 0.
Identify
a ll
z eros
u sing
�� (��) = 0
n otation:
_ ________________________________
Identify
a ll
x -‐intercepts:
_ ________________________________
Write
�� ��
i n
c ompletely
f actored
f orm:
_ ________________________________
!
!
!
13. Given
�� �� = 2��
+ ��
− 4��
+ 21�� – 36.
Identify
a ll
z eros
u sing
�� (��) = 0
n otation:
_ ________________________________
Identify
a ll
x -‐intercepts:
_ ________________________________
Write
�� ��
i n
c ompletely
f actored
f orm:
_ ________________________________
2
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