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Worksheets

Assessment: Topic 3 Assessment

Total questions: 126

Worksheet time: 6hrs 54mins

Name
Class
Date
1.
Classify by number of terms:
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
2.
Classify by degree of polynomial:
3x3 – 6x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
3.
Classify by number of terms:
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
4.
Classify by number of terms:
12
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
5.
Classify by degree of polynomial:
12
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
6.
Classify by degree of polynomial:
7x3 – 8x2 + 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
7.
Classify by degree of polynomial:
-2x2 – x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
8.
Classify by number of terms:
7x3 – 8x2 -4x+ 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
9.

Describe the end behavior of the function

f(x) = x2

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

10.

Describe the end behavior of the function

f(x) = x3

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

11.

Describe the end behavior of the function

f(x) = -x4

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

12.

Describe the end behavior of the function

f(x) = -5x7

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

13.

Describe the end behavior of the function

f(x) = 3x2 + 5x - 9

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

14.

Describe the end behavior of the function

f(x) = -3x2 - 5x + 12

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

15.

Describe the end behavior of the function

f(x) = -3x5 + 5x4 - 7x3 + 2x - 12

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

16.

Describe the end behavior of the function

f(x) = x2 - 3x + 7x9

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

17.

Describe the end behavior of the function

f(x) = -x2 + 4x4 + 9x6 - 11x5

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

18.

Describe the end behavior of the function

f(x) = 4 + 3x - 6x7 + 3x4

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

19.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and
x→ ∞, y→⁻∞
b)
x → ∞, y→ ∞ and
x→⁻∞, y→∞
c)
None of these
d)
x →∞,y→⁻∞ and
x→∞, y→⁻∞
20.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and x→∞, y→⁻∞
b)
x → ∞, y→ ∞ and x→⁻∞, y→∞
c)
x → ∞, y→ ∞ and x→⁻∞, y→ 0
d)
x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞
21.
Describe the end behavior of the graph.
a)
x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→0
d)
x →∞,y→∞ and x→⁻∞, y→⁻∞
22.
The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 
a)
Leading Coefficient Positive
Degree - Even
b)
Leading Coefficient Positive
Degree - Odd
c)
Leading Coefficient Negative
Degree - Even
d)
Leading Coefficient Negative
Degree - Odd
23.
The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 
a)
Leading Coefficient Positive
Degree - Even
b)
Leading Coefficient Positive
Degree - Odd
c)
Leading Coefficient Negative
Degree - Even
d)
Leading Coefficient Negative
Degree - Odd
24.
The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 
a)
Leading Coefficient Positive
Degree - Even
b)
Leading Coefficient Positive
Degree - Odd
c)
Leading Coefficient Negative
Degree - Even
d)
Leading Coefficient Negative
Degree - Odd
25.
Using the above graph what is the sign of the leading coefficient?
a)
Positive
b)
Negative
26.
What is the end behavior of a fourth degree polynomial with a negative leading coefficient?
a)
up, up
b)
down, down
c)
down, up
d)
up, down
27.

Multiply

(4x+1)(5x−2)

a)

20x2 + 3x − 2

b)

20x2 − 11x + 5

c)

20x2 − 18x + 2

d)

20x2 − 3x − 2

28.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
29.
Simplify the expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
30.

Simplify the expression

(4x3-5x2+3x)+(-2x3-x2+6x)

a)

2x3-6x2-9x

b)

2x3+6x2+9x

c)

-2x3-6x2+9x

d)

2x3-6x2+9x

31.
Multiply
(4x+3)(2x-1)
a)
8x2-2x-3
b)
8x-3
c)
8x2+6x-3
d)
8x2+2x-3
32.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
33.
Simplify the expression:
(4v3 + 3v - 8v4) + (4v - 8v4 - 7)
a)
-17v4 + 4v3 + 2v - 7
b)
-16v4 + 4v3 + 10v - 7
c)
-16v4 + 4v3 + 7v - 7
d)
-16v4 + 4v3 + 2v - 7
34.
Find the area of a rectangle with length (x-5) and width (3x+1).
a)
3x2+16x-5
b)
3x2-14x+5
c)
3x2-14x-5
35.

Multiply

(2x + 3)(3x + 4)

a)

6x2 + 17x + 7

b)

6x2 + 17x + 12

c)

6x2 + 8x + 12

d)

6x2 + 9x + 12

36.

Multiply

(4x + 3)(x + 2)

a)

x2 + 11x + 6

b)

4x2 + 8x + 6

c)

4x2 + 3x + 6

d)

4x2 + 11x + 6

37.

Multiply

(3x + 1)(2x + 5)

a)

6x2 + 17 + 5

b)

6x + 17x + 5

c)

6x2 + 17x + 5

d)

6x2 + 17 + 5x

38.

Multiply

(x-3)(x2+2x+7)

a)

x3-x2+x-21

b)

x3+5x+13x-21

c)

x3-3x2+7x-21

d)

x2+2x-3

39.

Multiply

(x-7)2

a)

x2-49

b)

x2+49

c)

x2-14x+49

d)

x2-14x-49

40.

Multiply

(3x - 5)(4x2 - 2x - 3)

a)

12x3 - 26x2 - 25x + 15

b)

12x3 - 20x2 - 5x + 15

c)

12x3 - 20x2 - 6x + 15

d)

12x3 - 26x2 + x + 15

41.
Add or Subtract to Simplify:
 (x + 2x2) + (4x2 + 7x)
a)
6x2 + 8x
b)
8x2 + 6x
c)
2x2 + 6x
d)
2x2 + 8x
42.
Add or Subtract to Simplify:
 (4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
43.
Add: (3x2 + 2x + 1) + (2x2 - 4x - 5) + (3x - 1)
a)
5x2 + 6x - 7
b)
8x2 - 3x - 5
c)
5x2 + x - 5
d)
6x2 + 8x + 5
44.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
45.
Add or Subtract to Simplify:
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
46.
Add or Subtract to Simplify:
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
47.
Combine like terms to simplify:
 (5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
48.

(4x2+ x) - (x2+ 2x)

a)

3x2 - x

b)

4x2 + 2x

c)

3x2 + 3x

d)

3x2 + 2x

49.
5x2+ x - x2+ 4x
a)
6x2 + 5x
b)
4x2 + 3x
c)
4x2 + 5x
d)
5x2 + 5x
50.
-7xy + x + y + x - 3xy
a)
10xy +2x + y
b)
-10xy + 2x + y
c)
-10xy + y
d)
-10xy + x + y
51.
Simplify each expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
52.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
53.
Add to Simplify:
 (4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
54.
What is the type of polynomial 3x4 + 2x2 + 5x ?
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
55.
What is the degree of the polynomial 3x4 + 2x2 + 5x ?
a)
1
b)
2
c)
3
d)
4
56.
 2x3(x2−2x − 3)
a)
2x6- 4x3 - 6x3
b)
2x5−4x4 − 6x3
c)
-2x5−4x4 − 6x3
d)
-2x6−4x3 − 6x3
57.
(x − 3)(6x − 2)
a)
6x2 − 20x + 6
b)
6x2 + 20x - 6
c)
6x2 +6
d)
6x + 6
58.
Factor:   x3 + 1
a)
(x + 1)3
b)
(x+1)(x2 - x + 1)
c)
(x - 1) (x2 + x - 1)
d)
(x + 1)(x2 - 2x + 1)
59.
Factor:  27x3 + 8
a)
(3x + 2)(9x2 - 6x + 4)
b)
(9x + 2)(3x2 + 18x + 4)
c)
(3x2+4)(9x + 2)
d)
(27x + 8)(x2 - 216x + 64)
60.
Complete the formula
a³-b³=
a)
(a-b)(a²+ab+b²)
b)
(a+b)(a²-ab+b²)
c)
(a-b)(a²-ab+b²)
d)
(a+b)(a²+ab+b²)
61.
Factor using differencesum/ of cubes.  (use your notes!)
a³ + b³
a)
(a-b)(a²+ab+b²)
b)
(a+b)(a²-ab+b²)
c)
(a-b)(a²-ab+b²)
d)
(a+b)(a²+ab+b²)
62.
Name the polynomial by degree and number of terms:
8k3 + 6k2 - 10k + 10
a)
Linear monomial
b)
cubic binomial
c)
cubic polynomial
d)
quartic trinomial
63.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
64.
What is row 5 of Pascal's Triangle?
a)
1, 2, 1
b)
1, 3, 3, 1
c)
1, 4, 9, 4, 1
d)
1, 5, 10, 10, 5, 1
65.

Select the correct expansion of

(1 + x)4

a)

1 + 4x + 6x2 + 4x3 + x4

b)

x + 3x2 + 3x3 + x4

c)

1 + 5x + 10x2 + 5x3 + x4

d)

1 + 2x2 + x4

66.
If you were dividing x6 + 4x3 + 2, how many 0's would you need when setting up the top row of your synthetic division?
a)
0
b)
2
c)
4
d)
6
67.
Divide using synthetic division 
(2x³ + 4x² - 5) by (x + 3).
a)
2x² + 2x - 4  R(-12)
b)
2x² - 2x + 6  R(-23)
c)
2x² - 2x + 8  R(-20)
d)
2x² - 4x + 1  R0
68.
3x3 + 5x - 1 ÷ x + 1
a)
3x3 - 3x2 + 8x - 9
b)
3x2 - 3x + 8 - 9/x+1
c)
3x2 + 3x + 8 + 7/x+1
d)
3x3 + 3x2 + 8x + 7
69.
What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x3 - 5x2 + 2x - 10
a)
0
b)
2x-10
c)
-2x-10
d)
2x+10
70.
Is (x-4) a factor of (x3 +x2 -16x-16)?
a)
YES
b)
NO
71.
Is (x-3) a factor of
(x3 - 3x2 + 2x + 2)?
a)
Yes
b)
No
72.

Classify by number of terms:

12

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

73.
Classify by number of terms:
2x – 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
74.

Classify by number of terms:

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

75.
Classify by number of terms:
7x3 – 8x2 + 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
76.

Classify by number of terms:

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

77.
Classify by number of terms:
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
78.
Classify by number of terms:
-2x2 – x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
79.

Classify by number of terms:

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

80.

Classify by number of terms:

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

81.

Classify by number of terms:

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

82.

Classify by number of terms:

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

83.

Classify by the degree:

a)

Degree 1

b)

Degree 2

c)

Degree 4

d)

Degree 5

84.

Classify by the degree:

a)

Degree 2

b)

Degree 3

c)

Degree 4

d)

Degree 5

85.

Classify by the degree:

a)

Degree 1

b)

Degree 2

c)

Degree 3

d)

Degree 4

86.

Classify by the degree:

a)

Degree 3

b)

Degree 6

c)

Degree 7

d)

Degree 5

87.
Classify by number of terms:
7x3 – 8x2 -4x+ 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
88.
Classify by degree of polynomial:
7x3 – 8x2 -4x+ 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
89.
Classify by degree of polynomial:
-2x2 – x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
90.

Classify by the degree:

-2x2 – x

a)

Linear

b)

Quadratic

c)

Cubic

d)

4th degree Polynomial

91.
Classify by degree of polynomial:
9x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
92.

What is another way to say "where a function crosses the x-axis"?

a)

x-intercept

b)

zero

c)

root

d)

all of these.

93.
Factor
x2 -16x + 48
a)
(x - 12)(x - 4)
b)
(x + 6)(x - 8)
c)
(x + 12)(x - 4)
d)
(x -16)(x - 3)
94.

List the ACTUAL rational zeros of

f(x) = x³ + 7x² - 2x -14 ?

a)

±1,±2,±7,±14\pm1,\pm2,\pm7,\pm14

b)

7, 2

c)

7

d)

- 7

95.
What should be the order of the polynomial coefficients if
(3x - 4x3 + 6x4 + 1) / (x + 3)
a)
3   0   -4   6   1
b)
6   -4   3   1   0
c)
6   -4   0   3   1
d)
-6   4   0   -3   -1
96.
If 𝒙2+𝟑𝒙+𝟕 is divided by  𝒙+𝟐, then what is the remainder?
a)
0
b)
-3
c)
9
d)
5
97.
What does it mean to be a factor of a number?
a)
Divides evenly with a remainder of zero.
b)
Divides unevenly with a remainder of 1.
98.
            Is (x-2) a factor of             f(x)= x3-8x2+14x-4?
a)
Yes, (x-2) is a factor. There is a remainder.
b)
No, (x-2) is  not a factor. The remainder is zero.
c)
Yes, (x-2) is a factor. The remainder is zero.
d)
No, (x-2) is  not a factor. There is a remainder. 
99.
How could you determine    if x-2 is a factor of 2x³-5x²+x-2?
a)
Use synthetic division and see if the quotient is even
b)
Ask the person sitting next to me
c)
Use synthetic division and see if the remainder is zero
d)
Flip a coin
100.
Match the graph to the function
a)
f(x)= -x2+3x+2
b)
f(x) = -x3+2
c)
f(x) = x3+2
d)
f(x) = ⅓x⁴-5x²+2
101.
Match the graph to the function
a)
f(x) = -x⁴-x³+5x²-6
b)
f(x) = x⁴+3x²-3x+1
c)
f(x) = -x³+2x²-x-6
d)
f(x) = x⁴+x³+5x²-6
102.

f(x) = 2x3 - 3x2 + 4x -10

What is the degree of f(x)?

a)

3

b)

2

c)

1

d)

0

103.
How many roots or zeros does the equation
f(x) = 5x4-8x3+4x2-6x+3 have?
a)
3
b)
4
c)
5
d)
0
104.

Which does not describe the zeros of a polynomial?

a)

Where a graph crosses the x-axis

b)

Also known as the roots

c)

Where x=0

d)

The solution when a factor is set equal to zero

105.

Which of the following is a completely factored polynomial?

a)

f(x)=2x4-3x3+8x-6

b)

f(x)=x2(x-1)(x+3)

c)

f(x)=x(x2-16)

d)

f(x)=(2x+1)(x2-3x-18)

106.

How are factors related to x-intercepts?

a)

They are the same

b)

They are not related

c)

x-intercepts are found by setting the factors=0

d)

x-intercepts are found by setting x=0

107.
f(x) = x2
a)
UP and UP
b)
DOWN and DOWN
c)
UP and DOWN
d)
DOWN and UP
108.
f(x) = x3
a)
UP and UP
b)
DOWN and DOWN
c)
UP and DOWN
d)
DOWN and UP
109.
f(x) = -x4
a)
UP and UP
b)
DOWN and DOWN
c)
UP and DOWN
d)
DOWN and UP
110.
f(x) = -5x7
a)
UP and UP
b)
DOWN and DOWN
c)
UP and DOWN
d)
DOWN and UP
111.
f(x) = 3x2 + 5x - 9
a)
UP and UP
b)
DOWN and DOWN
c)
UP and DOWN
d)
DOWN and UP
112.
f(x) = -3x2 - 5x + 12
a)
UP and UP
b)
DOWN and DOWN
c)
UP and DOWN
d)
DOWN and UP
113.
f(x) = -3x5 + 5x4 - 7x3 + 2x - 12
a)
UP and UP
b)
DOWN and DOWN
c)
UP and DOWN
d)
DOWN and UP
114.
f(x) = x2 - 3x + 7x9
a)
UP and UP
b)
DOWN and DOWN
c)
UP and DOWN
d)
DOWN and UP
115.
f(x) = 4 + 3x - 6x7 + 3x4
a)
UP and UP
b)
DOWN and DOWN
c)
UP and DOWN
d)
DOWN and UP
116.
f(x) = -x2 + 4x4 + 9x6 - 11x5
a)
UP and UP
b)
DOWN and DOWN
c)
UP and DOWN
d)
DOWN and UP
117.
(2x3 + 5x2 + 9) ÷ (x + 3)
a)
2x2 - x + 3
b)
2x3 - x2 + 3x
c)
2x2 + 11x + 33 + 108/x+3
d)
2x2 - 5x + 12
118.
(3x3 + 5x - 1) ÷ (x + 1)
a)
3x3 - 3x2 + 8x - 9
b)
3x2 - 3x + 8 - 9/x+1
c)
3x2 + 3x + 8 + 7/x+1
d)
3x3 + 3x2 + 8x + 7
119.
(3x3 - 2x2 - 7x + 6) ÷ (x + 1)
a)
3x3 - 5x2 - 2x + 8
b)
3x2 + x - 6
c)
3x2 - 5x - 2 + 8/x+1
d)
3x3 + x2 - 6x
120.
What should be the order of the polynomial coefficients if
(3x - 4x3 + 6x4 + 1) / (x + 3)
a)
3   0   -4   6   1
b)
6   -4   3   1   0
c)
6   -4   0   3   1
d)
-6   4   0   -3   -1
121.
If you were dividing x6 + 4x3 + 2, how many 0's would you need when setting up the top row of your synthetic division?
a)
0
b)
2
c)
4
d)
6
122.
For synthetic division, what would be the number in the left hand box?
a)
0
b)
1
c)
2
d)
3
123.
(2x3 - 5x2 + 3x + 7) ÷ (x - 2)
a)
2x3 - x2 + x + 9
b)
2x2 - x + 1
c)
2x2 - x + 1 + 9/x-2
d)
2x2 - 9x - 15 - 23/x-2
124.
(3x3 + 5x - 1) ÷ (x + 1)
a)
3x3 - 3x2 + 8x - 9
b)
3x2 - 3x + 8 - 9/x+1
c)
3x2 + 3x + 8 + 7/x+1
d)
3x3 + 3x2 + 8x + 7
125.
(2x3 + 7x2 - 6x - 8) ÷ (x + 4)
a)
2x2 - x - 2
b)
2x3 - x2 - 2x
c)
2x2 + 15x + 54 + 208/x+4
d)
2x3 + 15x2 + 54x + 208
126.
(2x3 + 5x2 + 9) ÷ (x + 3)
a)
2x2 - x + 3
b)
2x3 - x2 + 3x
c)
2x2 + 11x + 33 + 108/x+3
d)
2x2 - 5x + 12

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