Name
CHAPTER
6
Date
Chapter Test
Form A
8. Which of the following is the complete
factorization of  x 4  16 ?
Select the best answer.
1. Which monomial has the highest
degree?
A 18a 5
B 12a 6b
4
C 9a 4b
2 2
D 6a 2b c
A x 2  4  x 2  4 
B x 2  4  x  2  x  2 

9. If  2   3  is a root of a polynomial
with integer coefficients, which of the
following must be another root?
A
B
C
D
2. Which of the following is a fourth degree
trinomial with a leading coefficient of 2?
A x  x 2  2x 4
B 2x 4  8x 3  x  2
11. Which is a third degree polynomial
with 1 and 1 as its only zeros?
A x3  x2  x  1
B x3  x2  x  1
C x 3  3x 2  3x  1
D x 3  3x 2  3x  1
4. Which of the following is equal to
 x  3   2x 2  4x  1?
A 2x 3  2x 2  11x  3
B 2x 3  2x 2  13x  3
12. Which is a list of all the roots
of x 3  x 2  x  1  0?
A { 1, i, i }
B { 1, i, i }
5. Which of the following is
equal to  p  2r  3?
p3
p3
p3
p3




8r 3
8pr  8r 3
3
3p 2r  3pr 2  r
6p 2r  12pr 2  8r 3
13. What is the degree of the simplest
polynomial with integer coefficients that

has 5 and 5i as zeros?
A 3
B 4
C 5
D 6
6. Which of the following is equal to
 x 3  2x 2  3x  6 
divided by  x  2 ?
A x2  3
B x2  x  3
14. Given P  x   4x 3  11x 2  16x  9,
which of the following is true?
7. Which of the following is
NOT a factor of  x 3  x 2  14x  24 ?
A x1
B x2
C x3
D x4
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
HRW2880_C06_107-108.indd 107

23

3  2

2  3

3  2
10. Which is a list of all the roots
of x 3  3x 2  28x?
A { 7, 0, 4 }
B { 4, 0, 7 }
3. Which of the following is equal to
 3x 2  4x  3  minus  x 2 2x  3 ?
A 2x 2  2x  6
B 2x 2  6x
C 2x 2  6x  6
D 4x 2  2x
A
B
C
D
Class
A As x _› , P  x  _› .
B As x _› , P  x  _› .
107
Holt Algebra 2
12/6/05 1:01:00 PM
Name
CHAPTER
6
Date
Class
Chapter Test
Form A continued
18. If f  x  is a third degree polynomial
function and g  x   f  2x , which of the
following must be true?
15. Which is a graph of an even function
with a positive leading coefficient?
A f  x  and g  x  have the same
x-intercepts.
B f  x  and g  x have the same
y-intercept.
A
19. What is the degree of the polynomial
that best fits the data below?
x
y
B
1
2
33 8
3
4
5
6
1
0
7
32
A 2
B 3
C 4
D 5
20. A quintic polynomial has, at most, how
many x-intercepts?
A 3
B 4
C 5
D 6
C
D
16. If f  x   x 2  2x  3, which of the
following is equal to g  x   f  x  1 ?
A x2  2
B x 2  2x  4
17. Which of the following is a
reflection of f  x   2x 3  3x 2  4x  5
across the x-axis?
A g  x   2x 3  3x 2  4x  5
B h  x   2x 3  3x 2  4x  5
C j  x   2x 3  3x 2  4x  5
D k  x   2x 3  3x 2  4x  5
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
HRW2880_C06_107-108.indd 108
108
Holt Algebra 2
12/6/05 1:01:01 PM
Name
CHAPTER
6
Date
Chapter Test
Form B
6. Which of the following is equal to
 x 3  x  6  divided by  x  2 ?
F x2  3
H x2  x  3
G x 2  2x  3
J x  1  x  2 
Select the best answer.
1. Which mononomial has the highest
degree?
A 18a 5
B 12a 7bc
C 9a 4b 4c 2
2
D 6a 2bc d 2
7. Which of the following is NOT a factor
of  x 4  x 3  7x 2  x  6 ?
A x1
C x1
B x2
D x2
2. Which is a fourth degree trinomial with
a leading coefficient of 3?
F
G
H
J
Class
2
8. Which of the following is the complete
factorization of  x 6  64 ?
4
x  3x  13x
3x 4  8x 3  x  2
3x 3  x 2 12
x  x 2  3x 4
F
G
H
J
3. Which of the following is equal to
 3x 2  4x  3  subtracted from
 x 3  2x  3 ?
A 2x 3  6x  6
B x 3  3x 2  6x  6
C x 3  3x 2  2x
D x 3  3x 2  6x  6
x 3  8  x 3  8 
 x 3  8   x 2  2   x 2  2x  4 
 x 3  8   x 2  2   x 2  2x  4 
 x  2   x  2   x 2  2x  4 
 x 2  2x  4 

9. If 3 and  3   3  are two of the roots
of a third degree polynomial with integer
coefficients, which of the following is the
other root?
A
B
C
D
4. Which polynomial is equal to
 x 2  3   3x 2  4x  1 ?
F 3x 4  4x 3  10x 2  12x  3
G 3x 4  5x 3  x 2  3
H 3x 4  4x 3  8x 2  12x  3
J 3x 4  6x 2  12x  3

3

3  3

33
There is no other real root.
10. Which is a list of all the roots of
x 5  7x 4  18x 3?
F { 0, 2 }
H { 9, 0, 2 }
G { 2, 0, 9 }
J { 9, 2, 0, 2, 9 }
5. Which of the following is equal
to  p  r  4 ?
A p4  r4
B p 4  4p 2r 2  r 4
C p 4  4p 3r  6p 2r 2  4pr 3  r 4
D p 4  2p 3r  4p 2r 2  2pr 3  r 4
11. Which is a third degree polynomial with
3 and 2 as its only zeros?
A x2  x  6
B x 3  2x 2  5x  6
C x 3  4x 2  3x  18
D x 3  x 2  8x  12
12. Which is a list of all the roots of
x 3  x 2  4  4x?
F { 1, 2, 2 }
H { 1, 2i, 2i }
G { 1, 2, 2 }
J { 1, 2i, 2i }
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
HRW2880_C06_109-110.indd 109
109
Holt Algebra 2
12/6/05 1:01:10 PM
Name
CHAPTER
6
Date
Class
Chapter Test
Form B
continued
16. If f x x 3 x 2 3, which of the
following is equal to g x f x 2 ?
F x3 x2 1
G x 3 x 2 4x 1
H x 3 7x 2 12x 5
J x 3 7x 2 16x 9
13. What is the degree of the simplest
polynomial with integer coefficients that
has 2 , 2, and 2 2i as zeros?
A 3
C 5
B 4
D 6
4
3
2
14. Given P x 5x 3x 11x 16x 9, which of the following is true?
F P x is odd, and as x → ,
P x → .
G P x is odd, and as x → ,
P x → .
H P x is even, and as x → ,
P x → .
J P x is even, and as x → ,
P x → .
17. Which of the following is a reflection of
4
3
2
f x x 2x 3x 4x 5 across
the y-axis?
4
3
2
A g x x 2x 3x 4x 5
B h x x 4 2x 3 3x 2 4x 5
C j x x 4 2x 3 3x 2 4x 5
D k x 5x 4 4x 3 3x 2 2x 1
18. If f x is a third degree polynomial
function and g x f 2x , which
of the following is NOT true?
F f x and g x have the same
x-intercepts.
G f x and g x have the same
y-intercept.
H f 2 g 1 J f x and g x have the same
number of zeros.
15. Which is a graph of an odd function with
a negative leading coefficient?
A
19. What is the degree of the polynomial
that best fits the data below?
B
x
1
2
3
4
5
6
y
1
1
5
23
59
119
A 2
B 3
C 4
D 5
20. A quintic polynomial has, at most, how
many turning points?
F 3
G 4
H 5
J 6
C
D
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
HRW2880_C06_109-110.indd 110
110
Holt Algebra 2
5/4/06 4:58:54 PM
Process Black
Name
CHAPTER
6
Date
Class
Chapter Test
Form C
Select the best answer.
6. Which of the following is equal
4
3
2
to x ⫹ 4x ⫺ 3x ⫺ 12x divided
by x ⫹ 4 ?
F x 3 ⫺ 3x
H x 3 ⫺ 2x 2 ⫺ 3x
G x 3 ⫹ 3x
J x 3 ⫹ 2x 2 ⫺ 3x
1. Which of the following monomials has
the highest degree?
4 4 2
5
C 9a 4b c d
A 18a b
5
2 3 2 3
B 12a 7bc
D 6a 3b c d e
7. Which of the following is NOT a factor
4
3
2
of x ⫺ 6x ⫹ 3x ⫹ 26x ⫺ 24 ?
A x⫺1
C x⫺3
B x⫹2
D x⫹4
2. Which of the following is a fourth degree
trinomial with no quadratic term and a
leading coefficient of 3?
4
F x ⫺ 3x ⫹ 1
G 3x 4 ⫹ 8x 3 ⫺ x ⫹ 2
H 6x 3 ⫹ 3x 4 ⫺ x
J x ⫺ x 2 ⫹ 3x 4
8. Which of the following is the complete
6
factorization of 64 ⫺ x ?
F x ⫹ 2 2 ⫺ x .
x 2 ⫹ 2x ⫺ 4 x 2 ⫺ 2x ⫺ 4 G x ⫹ 2 x ⫺ 2 .
3. Which of the following is equal
3
2
to 2x ⫺ 3x ⫹ 4x ⫺ 3 subtracted
3
from x ⫺ 2x ⫹ 5 ?
A ⫺x 3 ⫺ x 2 ⫺ 6x ⫹ 8
B ⫺x 3 ⫹ 3x 2 ⫺ 6x ⫹ 8
C x 3 ⫺ x 2 ⫹ 6x ⫺ 8
D x 3 ⫹ x 2 ⫹ 6x ⫺ 8
x 2 ⫹ 2x ⫹ 4 x 2 ⫺ 2x ⫹ 4 H x ⫹ 2 2 ⫺ x .
x 2 ⫹ 2x ⫹ 4 x 2 ⫺ 2x ⫹ 4 J x ⫹ 2 x ⫺ 2 .
x 2 ⫹ 2x ⫺ 4 x 2 ⫺ 2x ⫺ 4 9. If 3 and 3 are two of the roots of a
fourth degree polynomial with integer
coefficients, which of the following could
be the product of the other two roots?
C 3
A 3
B 6
D 3 ⫹ 3
4. Which of the following is equal
2
2
to x ⫺ 2x ⫺ 3 3x ⫹ 4x ⫺ 1 ?
F 3x 4 ⫺ 2x 3 ⫺ 18x 2 ⫺ 10x ⫹ 3
G 3x 4 ⫺ 2x 3 ⫺ 16x 2 ⫺ 10x ⫹ 3
H 3x 4 ⫺ x 3 ⫺ 18x 2 ⫺ 10x ⫹ 3
J 3x 4 ⫺ x 3 ⫺ 16x 2 ⫺ 10x ⫹ 3
6
4
3
10. If f x ⫽ ax ⫹ bx ⫹ cx , where a, b,
and c are integers, how many distinct
rational zeros could f x have?
F 1 or 3
H 1, 3, or 5
G 2 or 4
J 2, 4, or 6
5. Which of the following is equal
5
to p ⫹ 2r ?
5
4
3 2
2 3
A p ⫹ 5p r ⫹ 10p r ⫹ 10p r ⫹
4
5
5pr ⫹ r
5
4
3 2
2 3
B p ⫹ 10p r ⫹ 20p r ⫹ 20p r ⫹
4
5
10pr ⫹ 32r
2
3
C p 5 ⫹ 10p 4r ⫹ 20p 3r ⫹ 80p 2r ⫹
4
5
40pr ⫹ 32r
2
3
D p 5 ⫹ 10p 4r ⫹ 40p 3r ⫹ 80p 2r ⫹
4
5
80pr ⫹ 32r
11. How many different third degree
polynomials have ⫺3 and 2 as their only
zeros?
A 0
C 2
B 1
D an infinite number
12. Which of the following lists all the roots
4
3
2
of x ⫽ x ⫹ x ⫹ x ⫹ 2?
H { ⫺2, ⫺1 }
F { ⫺1, 2 }
G { ⫺1, 2, i, ⫺i }
J { ⫺2, ⫺1, i, ⫺i }
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
HRW2880_C06_111-112.indd 111
111
Holt Algebra 2
6/13/06 4:47:15 PM
Process Black
Name
CHAPTER
6
Date
Class
Chapter Test
Form C
continued
13. What is the degree of the simplest
polynomial with integer coefficients that


has 2 , 2,  2  i, and 2  2i as zeros?
A 6
C 8
B 7
D 9
17. Which of the following is a translation of
f  x   2x 3  3x 2  4x  5 one unit to
the right followed by a reflection over the
y-axis?
A g  x   2x 3  9x 2  8x  10
B g  x   2x 3  9x 2  8x  6
C g  x   2x 3  9x 2  8x  6
D g  x   2x 3  9x 2  8x  10
14. If P  x  _›  as x _›  and
P  x  _›  as x _› , which of the
following is true?
F P  x  is odd and has a negative
leading coefficient.
18. If f  x  is a third degree polynomial
function and g  x   f  2x   2, which of
the following MUST be true?
G P  x  is odd and has a positive
leading coefficient.
F f  x  and g  x  have the same
x-intercepts.
G f  x  and g  x  have the same
y-intercept.
H f  x  and g  x  have the same number
of zeros.
H P  x  is even and has a negative
leading coefficient.
J P  x  is even and has a positive
leading coefficient.
15. If f  x  is an odd function with a
negative leading coefficient, g  x  is an
even function with a negative leading
coefficient, and h  x  is the product of
f  x  and g  x , which of the following
could be the graph of h  x ?
J f 0   g 0   2
19. What is the degree of the polynomial
that best fits the data below?
1
x
y
2
3
C
B
8
C 4
D 6
20. A quintic polynomial having 5 distinct
real roots has
F
G
H
J
D
16. If f  x   x 3  x 2  3, which of the
following is equal to g  x   f  2  x ?
F
G
H
J
7
49 10 2 0 1 6 40 168
A 3
B 5
A
4 5 6
exactly
exactly
exactly
exactly
4
4
4
5
turning points.
x-intercepts.
y-intercepts.
turning points.
x 3  5x 2  8x  1
x 3  7x 2  16x  15
x 3  5x 2  8x  1
x 3  7x 2  16x  15
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
HRW2880_C06_111-112.indd 112
112
Holt Algebra 2
12/6/05 1:01:25 PM
Name
CHAPTER
6
Date
Class
Chapter Test
Form A
1. Write a fifth degree monomial with x and
y as variables.
12. What are all the roots of x 3  x 2  4x 
4  0?
2. Write a third degree trinomial with a
leading coefficient of 4.
13. What is the degree of the simplest
polynomial with integer coefficients that
has 3, 3i, and 3  3i as zeros?
3. What is  2x 2  6x  3  added
to  2x 3  3x  2 ?
14. If P  x  is an even function with a
negative leading coefficient, describe its
end behavior.
4. Find  x  2   x 2  5x  3 .
15. Draw a graph of an odd function with
exactly two real zeros and a positive
leading coefficient.
4
5. What is  c  h  ?
6. Find  x 3  x 2  20x  24  divided
by  x  3 .
7. If  x  a  is a factor
of  x 3  5x 2  2x  24 , what number
could be a?
�
8. What is the complete factorization
of  1  16x 4 ?

9. If 5 and  7  2  are roots of a
polynomial with integer coefficients, what
must be another root?
16. If f  x   x 3  2x 2  3x  1, find g  x  
f  x  1 .
10. What are all the roots of 2x 3  6x 2 
36x?
17. If f  x   x 4  x 3  x 2  2x  3, find
g  x , the reflection of f  x  across the
y-axis.
11. Write a third degree polynomial with 2
as its only zero.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
HRW2880_C06_113-114.indd 113
113
Holt Algebra 2
12/6/05 1:01:32 PM
Name
Date
Class
Chapter Test
CHAPTER
6
Form A continued
18. If f  x  has a y-intercept at 5 and
x-intercepts at 2 and 4, and if g  x  
2f  x , what are the intercepts of g  x ?
19. What is the degree of the polynomial
that best fits the data below?
x
y
1
2
3
4
5
43 18 11 10 3
6
7
22
77
20. How many x-intercepts does a quartic
polynomial function having 4 distinct real
roots have?
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
HRW2880_C06_113-114.indd 114
114
Holt Algebra 2
12/6/05 1:01:32 PM
Name
CHAPTER
6
Date
Class
Chapter Test
Form B
1. Write a 9th degree monomial with
x, y, and z as variables.
10. What are all the roots of
5
4
3
12x 30x 72x ?
{ 4, 0, 1.5 }
Answers may vary.
2. Write a 5th degree trinomial with
a leading coefficient of 4.
11. Write a third degree polynomial
with 2 and 3 as its only zeros.
Answers may vary.
3. What is 2x 2 6x 1 subtracted
3
from 2x 3x 2 ?
3
2
2x 2x 9x 3
3
x 3 4x 2 3x 18
12. What are all the roots of
3
2
x 2 2x x?
4. Find x 2 2 2x 2 5x 3 .
4
3
2x 5x 7x 10x 6
2
x x 8x 12 or
2, i, i
2
5. What is c 2 5?
c 5 10c 4 40c 3 80c 2 80c 32
6. Find x 3 18x 8 divided by
x 4 .
x 2 4x 2
7. If x a is a factor of
x 4 5x 3 21x 2 23x 8 ,
what number could be a?
1 or 8
8. What is the complete factorization
3
of 16x 54 ?
13. What is the degree of the simplest
polynomial with integer coefficients
that has 3 , 3, 3i, and 3 3i as zeros?
7
14. If P x → as x → , and
P x → as x → , what do
you know about the degree and
the coefficients of P x ?
It has an even degree and
negative leading coefficient.
15. Draw a graph of an odd function
with exactly four real zeros and
a positive leading coefficient.
2
2 2x 3 4x 12x 9 9. If 5 and 5 5 are two of the
roots of a third degree polynomial
with integer coefficients, what is
the other root?
0
5 5
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
HRW2880_C06_115-116.indd 115
115
Holt Algebra 2
5/4/06 4:59:21 PM
Process Black
Name
Date
CHAPTER
6
Class
Chapter Test
Form B
continued
16. If f x x 3 2x 2 3x 1,
find g x f x 2 .
x 3 4x 2 x 7
17. If f x x 4 x 3 x 2 2x 3,
find g x , the reflection of f x across the y-axis followed by a
reflection across the x-axis.
g x x 4 x 3 x 2 2x 3
18. If f x has a y-intercept at 3 and
x-intercepts at 2 and 4, and if
g x 2f 2x , what are the intercepts
of g x ?
y-intercept at 6 and
x-intercepts at 1 and 2
19. What is the degree of the polynomial
that best fits the data below?
x
1
2
3
4
5
6
7
y
15
3
1
3
9
5
87
4
20. How many turning points does a quartic
polynomial function having 4 distinct real
roots have?
Exactly 3 turning points.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
HRW2880_C06_115-116.indd 116
116
Holt Algebra 2
5/4/06 5:00:22 PM
Process Black
Name
CHAPTER
6
Date
Class
Chapter Test
Form C
1. Write an eleventh degree monomial with
x, y, and z as variables.
11. Write the simplest third degree
polynomial with integer coefficients that
has ⫺2 and 5 as zeros.
2. Write a third degree trinomial with no
quadratic term and a leading coefficient
of ⫺4.
12. What are all the roots of
3
2
x ⫹ 2x ⫽ x ⫹ 2?
3. What is 3x 3 ⫺ 2x 2 ⫹ 6x ⫺ 1 subtracted from the sum
3
2
of 2x ⫺ 3x ⫹ 2 and 5x ⫹ 4x ⫺ 6 ?
13. What is the degree of the simplest
polynomial with integer coefficients
that has 3, 3 , 3 ⫹ 3 i, and 3 ⫹ 3i as
zeros?
4. Find x 2 ⫺ x ⫺ 2 2x 2 ⫹ x ⫺ 1 .
14. P x _› ⫺⬁ as x _› ⫹⬁ and P x _› ⬁ as
x _› ⫺⬁. Q x _› ⫺⬁ as x _› ⫹⬁, and
Q x _› ⫺⬁ as x _› ⫺⬁. If R x ⫽ P x .
Q x , describe the end behavior of R x .
5. What is p ⫹ 3r 5?
6. Find x 4 ⫺ 5x 3 ⫹ 17x ⫹ 3 divided
by x ⫺ 3 .
15. Draw a graph of an even function with
exactly one distinct real zero, exactly
one local minimum, and a negative
leading coefficient.
7. If x ⫺ a is a factor
4
3
2
of x ⫹ 3x ⫺ 6x ⫺ 28x ⫺ 24 , what
number could be a?
8. What is the complete factorization
8
of 1 ⫺ 256x ?
9. If 5 ⫺ 5 and 5 ⫺ 5 are two of
the roots of a fourth degree polynomial
with integer coefficients, what are the
other roots?
10. What are all the roots of x 5 ⫺ 6x 2 ⫽
3
4
2x ⫺ 3x ?
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
HRW2880_C06_117-118.indd 117
117
Holt Algebra 2
6/13/06 4:47:34 PM
Process Black
Name
Date
CHAPTER
6
Class
Chapter Test
Form C
continued
3
16. If f  x   x  2x 2  4x  1, and
g  x   f  x  2 , find h  x , the reflection
of g  x  across the y-axis.
17. If f  x   x 3  x 2  2x  3, find
g  x , the reflection of f  x  across the
x-axis followed by a translation three
units to the left.
18. If f  x  has a y-intercept at 3 and
x-intercepts at 2 and 4, and if
g  x   2f  2x  3 , which intercepts of
g  x  can you identify for certain, and
what are they?
19. The data below fits a fourth degree
polynomial perfectly. Find the value of k.
x
1
2
3
y
21 2 3
4
5
6
7
k
1
6
33
20. How many turning points does the
polynomial function
P  x   (x 2  4x 5)  x  7  2 have?
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
HRW2880_C06_117-118.indd 118
118
Holt Algebra 2
12/6/05 1:01:54 PM
Answer Key
continued
25. A
8. H
26. H
9. B
27. A
10. C
28. G
Chapter Test Form A
29. B
1. C
30. F
2. A
31. D
3. C
32. J
4. B
33. B
5. D
34. J
6. A
35. C
7. A
CHAPTER 6
8. B
9. C
Section Quiz: Section A
1. B
2. G
3. D
4. G
5. D
6. G
7. C
10. A
11. A
12. A
13. B
14. B
15. B
16. A
8. H
17. B
9. B
18. B
10. G
19. B
11. C
20. C
Section Quiz: Section B
Chapter Test Form B
1. D
1. C
2. G
2. J
3. C
3. D
4. H
4. F
5. B
5. C
6. G
6. G
7. A
7. B
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a207_Assess_Answer.indd 306
306
Holt Algebra 2
6/14/06 3:14:16 PM
Answer Key
continued
8. J
19. B
9. B
20. F
10. H
Chapter Test Form A
11. C
1. Many answers. For example, x 3y 2
12. J
13. C
2. Many answers. For example,
4x 3 3 x 2 6
14. H
3. 2x 3 2x 2 3x 1
15. B
4. x 3 3x 2 13x 6
16. J
5. c 4 4c 3h 6c 2h 2 4ch 3 h 4
17. A
6. x 2 4x 8
18. F
7. 2, 3, or 4
19. B
8. (1 4x 2)(1 2x)(1 2x)
20. G
9. 7 2
Chapter Test Form C
10. { 6, 0, 3 }
1. C
11. x 3 6x 2 12x 8
2. H
12. { 1, 2i, 2i }
3. B
4. F
5. D
13. 5
14. As x goes to positive or negative infinity,
the function goes to negative infinity.
15. Something like this:
6. F
7. D
8. H
9. A
10. G
11. D
0
12. G
13. B
14. H
15. A
16. F
17. B
16. x 5x 4x 1
18. J
17. g x x 4 x 3 x 2 2x 3
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a207_Assess_Answer.indd 307
3
307
2
Holt Algebra 2
6/14/06 3:14:16 PM
Answer Key
continued
18. y-intercept at 10 and x-intercepts at 2
and 4.
19. 3
rd
16. x 3 4x 2 x 7
4
3
2
17. g x x x x 2x 3
20. Exactly 4 x-intercepts.
18. y-intercept at 6 and x-intercepts at 1
and 2.
Chapter Test Form B
19. 4th
4 3 2
1. Many answers. For example, x y z
20. Exactly 3 turning points.
2. Many answers. For example,
5
4
4x 3x 6
Chapter Test Form C
5 4 2
1. Many answers. For example, x y z
3. 2x 2x 9x 3
3
2
4. 2x 5x 7x 10x 6
2. Many answers. For example,
3
4x 3x 6
5
4
3
2
5. c 10c 40c 80c 80c 32
3
2
3. x 7x 5x 3
2
6. x 4x 2
4
3
2
4. 2x x 6x x 2
7. 1 or 8
5
4
3 2
2 3
5. p 15p r 90p r 270p r 4
5
405pr 243r
4
3
2
2
8. 2(2x 3)(4x 12x 9)
3
2
6. x 2x 6x 1
9. 5 5
7. 2, or 3
10. { 4, 0, 1.5 }
4
2
8. (1 16x )(1 4x )(1 2x)(1 2x)
3
2
11. x x 8x 12 or
3
2
x 4x 3x 18
9. 5 5 , 5 5
12. { 2, i, i }
10. { 3, 0, 2 }
13. 7
14. It has an even degree and negative
leading coefficient.
15. Something like this:
3
2
11. x 2x 5x 10
12. { 1, 2i, 2 i }
13. 7
14. R x → as x → and R x → as x → 0
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a207_Assess_Answer.indd 308
308
Holt Algebra 2
6/19/06 3:19:35 PM
Answer Key
continued
15. Something like this:
5.
0
Cumulative Test
16. x 4x 7
3
2
1. C
17. g x x 8x 23x 21
2. F
18. y-intercept unknown; x-intercepts at 0.5
and 3.5.
3. C
3
2
4. H
19. 0
5. C
20. Exactly 2 turning points.
6. F
Performance Assessment
1 x 4 9x 2 4x 12 1. f x __
4
2. { 1, 2, 3, 4, 6, 12 }
1 x 1 x 2 2 x 3 3. f x __
4
2 4. x-intercepts: 2, 1, and 3
y-intercept: 3
other points: 3, 6 , 1, 2 , 2, 4 ,
4, 27 end behavior: P x → as x → and P x → as x → 7. D
8. F
9. B
10. H
11. C
12. G
13. B
14. F
15. B
16. J
17. A
18. G
19. A
20. G
21. B
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a207_Assess_Answer.indd 309
309
Holt Algebra 2
6/14/06 3:14:19 PM