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WorksheetsPolynomials
Total questions: 77
Worksheet time: 7hrs 14mins
Name
Class
Date
1.
Simpliy: 3x2+5x2
a)
8x
b)
2x2
c)
8x2
d)
2x
2.
(3x2 + 6x - 1) + (4x2 + 5x + 9)
a)
-x2 + x - 10
b)
x2 - x + 10
c)
7x2 + 11x + 8
d)
7x2 + 11x + 10
3.
-x3(9x4 - 2x3 + 7)
a)
-9x12 + 2x9 - 7x3
b)
9x7 - 2x6 + 7x3
c)
-9x7 - 2x3 + 7
d)
-9x7 + 2x6 - 7x3
4.
Identify the degree of the monomial:
8a3
8a3
a)
8
b)
1
c)
3
d)
11
5.
Identify the degree of:
2b8c2
2b8c2
a)
10
b)
8
c)
2
d)
16
6.
Is the following written in standard form:
c + 8c3 - 3c7
c + 8c3 - 3c7
a)
yes
b)
no
7.
Identify the constant term:
4x3 + 2x - 9
4x3 + 2x - 9
a)
4
b)
-2
c)
-9
d)
9
8.
5x2(2x - 3)
a)
5x2 + 2x - 3
b)
10x3 - 15x2
c)
-5x2
d)
7x3 - 15x2
9.
How many terms does this expression have:
-27a3 + 9a2 - 45a
-27a3 + 9a2 - 45a
a)
what are terms?
b)
0 terms
c)
-45 terms
d)
3 terms
10.
A polynomial that has two terms is a:
a)
polynomial
b)
monomial
c)
binomial
11.
Find the product
(x +2)(x + 3)
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
12.
Find the product
(x + 5)(x + 4)
(x + 5)(x + 4)
a)
x2 + x + 20
b)
x2 + 20x + 9
c)
x2 + 9x + 20
d)
x2 - 9x + 54
13.
Find the product
(x - 4)(x - 6)
(x - 4)(x - 6)
a)
x2 -10x + 24
b)
x2 - 10x - 24
c)
x2 +10x + 24
d)
x2 + 10x - 24
14.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
15.
What is the above expression classified as?
a)
4th degree Monomial
b)
Cubic Binomial
c)
CubicTrinomial
d)
4th degree Polynomial
16.
What is the above expression classified as?
a)
5th degree Monomial
b)
10th degree Monomial
c)
5th degree Trinomial
d)
10th degree Polynomial
17.
Find the difference
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
18.
Find the product
(r + 7)(r − 7)
(r + 7)(r − 7)
a)
r 2 − 49
b)
r 2 + 14
c)
r 2 − 7r + 49
d)
r 2 + 49
19.
Find the product
(3x – 1)(x + 5)
(3x – 1)(x + 5)
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
20.
2(2x + 1) + 8x - 3
a)
12x -1
b)
12x - 5
c)
12x + 1
d)
12x + 6
21.
5x(2x + 3)
a)
10x2 + 15x
b)
7x + 15x
c)
7x2 + 8x
d)
25x2
22.
2(2x + 3) + 5
a)
4x + 6x + 10
b)
4x + 10
c)
4x + 11
d)
4x + 16
23.
Classify the polynomial and give the degree:
4x2 + 2x - 1
4x2 + 2x - 1
a)
Binomial, 3
b)
Binomial, 2
c)
Trinomial, 3
d)
Trinomial, 2
24.
Classify the polynomial and give the degree:
5x3y2
5x3y2
a)
Monomial, 3
b)
Uninomial, 3
c)
Uninomial, 5
d)
Monomial, 5
25.
What is the degree of the polynomial? 3x2 + 5xy - 4x7y
a)
7
b)
8
c)
2
d)
3
26.
What is the Perimeter?
a)
3x - 3 inches
b)
6x - 6 inches
c)
3x - 6 inches
d)
6x - 3 inches
27.
What is the Area?
a)
2x2 - 3x - 18 inches2
b)
2x2 + 3x + 18 inches2
c)
2x2 + 9x - 18 inches2
d)
2x2 - 9x - 18 inches2
28.
Classify the polynomial by its degree.
x2 + 2x3 - 4
x2 + 2x3 - 4
a)
A
binomial
binomial
b)
B
trinomial
trinomial
c)
C
quadratic
quadratic
d)
D
cubic
cubic
29.
What is the degree of the polynomial?
x3y2 - 7x2y + 3
x3y2 - 7x2y + 3
a)
A
1
1
b)
B
3
3
c)
C
5
5
d)
D
7
7
30.
Which is an example of a cubic monomial?
a)
A
x³ + 5
x³ + 5
b)
B
x² + 3
x² + 3
c)
C
x² + 5x - 6
x² + 5x - 6
d)
D
5x³
5x³
31.
Subtract:
(3x² - 3x + 2) - (-3x² + 2x - 1)
(3x² - 3x + 2) - (-3x² + 2x - 1)
a)
A
0x² - x + 1
0x² - x + 1
b)
B
6x² - x + 1
6x² - x + 1
c)
C
6x² - 5x + 3
6x² - 5x + 3
d)
D
6x² + 5x + 3
6x² + 5x + 3
32.
Add:
(3x² - 3x + 2) + (x² - 2x + 1)
(3x² - 3x + 2) + (x² - 2x + 1)
a)
A
4x³-2x²+2
4x³-2x²+2
b)
B
4x² - 5x + 3
4x² - 5x + 3
c)
C
-2x³+2x+2
-2x³+2x+2
d)
D
4x³-2x²-2
4x³-2x²-2
33.
What is the GCF in this polynomial?
2x² + 12x - 32
2x² + 12x - 32
a)
A
2
2
b)
B
3
3
c)
C
6
6
d)
D
18
18
34.
What is the GCF of the following polynomial?
3x³ + 15x² - 12x?
3x³ + 15x² - 12x?
a)
A
3
3
b)
B
3x
3x
c)
C
15x
15x
d)
D
-12x
-12x
35.
Simplify (multiply)
(3x²)(3x⁴y³)
(3x²)(3x⁴y³)
a)
A
9x⁶y³
9x⁶y³
b)
B
3x⁶y³
3x⁶y³
c)
C
6x⁸y³
6x⁸y³
d)
D
6x⁸y⁶
6x⁸y⁶
36.
What is the degree of this term?
-7x3y2z2
-7x3y2z2
a)
A
3
3
b)
B
2
2
c)
C
12
12
d)
D
7
7
37.
How many terms are in the following polynomial?
3xy - 2y + 8x - 7z -16
3xy - 2y + 8x - 7z -16
a)
A
1
1
b)
B
2
2
c)
C
4
4
d)
D
5
5
38.
Terms in a polynomial are separated by what?
a)
A
Parenthesis
Parenthesis
b)
B
Multiplication/
Division
Multiplication/
Division
c)
C
Constants
Constants
d)
D
Addition/
Subtractraction
Addition/
Subtractraction
39.
Factor completely:
20a3 + 8a2
20a3 + 8a2
a)
A
a(20a2 + 8a)
a(20a2 + 8a)
b)
B
2a2(10a2 + 4)
2a2(10a2 + 4)
c)
C
4a2(5a + 2)
4a2(5a + 2)
d)
D
4a(5a2 + 2a)
4a(5a2 + 2a)
40.
What is the area of the rectangle?
a)
A
2n2 - 10n - 25
2n2 - 10n - 25
b)
B
n2 + 25
n2 + 25
c)
C
n2 - 10n + 25
n2 - 10n + 25
d)
D
n2 - 25
n2 - 25
41.
What is the term classification of the following polynomial?
x³-7x²+3
x³-7x²+3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
42.
Which is an example of a linear polynomial?
a)
x²-5
b)
6x+4
c)
5x⁵
d)
2x³-9x²
43.
Which of these has a negative leading coefficient?
a)
x²+9x-4
b)
6x-9
c)
-8x+8
d)
9x
44.
What is the leading coefficient of the following polynomial?
5x²-3x+6
5x²-3x+6
a)
2
b)
-3
c)
5
d)
6
45.
Add the following polynomials:
(x³-2x²+3)+(2x³+3x²-1)
(x³-2x²+3)+(2x³+3x²-1)
a)
3x³-2x²+3x+2
b)
3x³+x²+2
c)
3x³-5x²-2
d)
3x³-x²+1
46.
Add the following polynomials
(x³-6x²+3)+(3x³+4x-1)
(x³-6x²+3)+(3x³+4x-1)
a)
4x³-2x²+2
b)
4x³-6x²+4x+2
c)
-2x³+2x+2
d)
4x³-2x²-2
47.
What is the factored form of 5n³-10n²+3n-6
a)
(5n²+3)(n-2)
b)
(5n²-3)(n-2)
c)
(5n³+3)(n-2)
d)
10n(n²-6)
48.
What is the factored form of x³+7x²-2x-14
a)
(x²-2)(x-7)
b)
(x²+2)(x-7)
c)
(x²+2)(x+7)
d)
(x²-2)(x+7)
49.
Simplify. Write your answer in standard form:
(3x³+9x²-2x)−(7x³-6x²+1)
(3x³+9x²-2x)−(7x³-6x²+1)
a)
10x³+15x²-3x
b)
-4x³+3x²-2x+1
c)
-4x³+15x²-2x-1
d)
-4x³+15x²-2x+1
50.
What is the factored form of 4x²+8x+10
a)
2x(2x²+4x+5)
b)
2x(x²+4x+10)
c)
2(2x²+4x+10)
d)
2(2x²+4x+5)
51.
What is the factored form of 2a³-2a²
a)
2a²(a)
b)
2a(2a²-a)
c)
2a²(a-1)
d)
2a²(a+1)
52.
Is factoring fun?
a)
YES
b)
NO
c)
NO
d)
NO
53.
Factor by GCF:
18a2-15a
a)
15a(3a-1)
b)
3a(6a-1)
c)
3(6a-5)
d)
3a(6a-5)
54.
Factor by GCF:
56a3 - 8a
56a3 - 8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
55.
Factor by GCF:
4b5 + 4b3 + 16b2
4b5 + 4b3 + 16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
56.
Factor by grouping:
5n³-10n²+3n-6
5n³-10n²+3n-6
a)
(5n²+3)(n-2)
b)
(5n²-3)(n-2)
c)
(5n³+3)(n-2)
d)
10n(n²-6)
57.
Factor:
x2 - 25
x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
58.
Factor:
x2 - 16
x2 - 16
a)
Prime
b)
( x - 4) ( x + 4)
c)
( x - 8) ( x + 8)
d)
( x - 4) ( x - 4)
59.
Factor:
x2 - 16
x2 - 16
a)
Prime
b)
( x - 4) ( x + 4)
c)
( x - 8) ( x + 8)
d)
( x - 4) ( x - 4)
60.
Factor:
x2 - 400
x2 - 400
a)
( x - 200) ( x + 200)
b)
( x + 20) ( x + 20)
c)
Prime
d)
( x - 20) ( x + 20)
61.
Factor:
x2 - 169
x2 - 169
a)
( x - 13) ( x + 13)
b)
( x + 13) ( x + 13)
c)
( x - 13) ( x -13)
d)
Prime
62.
Factor:
x2 - 30x + 225
x2 - 30x + 225
a)
(x + 15)2
b)
(x - 15)2
c)
(x + 25)2
d)
(x - 25)2
63.
Which of the following is a perfect square trinomial?
a)
x2 – 4x – 4
b)
x2 – 6x – 9
c)
x2 + 6x – 9
d)
x2 – 4x + 4
64.
Which of the following is a perfect square trinomial?
a)
x2 + 14x – 49
b)
x2 + 20x + 100
c)
x2 – 8x + 4
d)
x2 – 5x + 6
65.
Which of the following is NOT a perfect square trinomial?
a)
x2 – 16x + 64
b)
x2 – 10x + 20
c)
x2 – 28x + 196
d)
x2 – 24x + 144
66.
Is the polynomial a difference of squares and if it is factor the polynomial.
d² - 36
a)
Is not a difference of squares
b)
Is a difference of squares;
(d + 6)(d - 6)
c)
Is a difference of squares; (d - 6)²
d)
Is a difference of squares;
(d + 18)(d - 18)
67.
Fully Factor the Following
25x2-81
25x2-81
a)
(5x-9)2
b)
(5x+9)(5x-9)
c)
25(x-9)2
d)
(9x+5)(9x-5)
68.
25x2y2 - 100
a)
( 5xy - 10) (5xy + 10)
b)
( 5xy + 10) (5xy + 10)
c)
Prime
d)
( 5xy - 50) (5xy + 50)
69.
9x2 - 49y6
a)
( 3x + 7y3) (3x + 7y3)
b)
( 3x - 7y3) (3x + 7y3)
c)
( 3x - 7y3) (3x - 7y3)
d)
Prime
70.
3x2 - 75
a)
3( x + 5 ) ( x - 5 )
b)
Prime
c)
( x + 5 ) ( x - 5 )
d)
3( x - 5 ) ( x - 5 )
71.
Factor the Polynomial:
121r2 - 64t2
121r2 - 64t2
a)
(11r + 8t)(11r - 8t)
b)
(11r - 8t)(11r - 8t)
c)
(11r + 8t)(11r + 8t)
d)
prime
72.
Factor
x2 + 18x + 81
x2 + 18x + 81
a)
(x + 9)(x – 9)
b)
(x + 18)2
c)
(x + 9)2
d)
(x + 6)2
73.
Factor:
n2 + 10n + 25
n2 + 10n + 25
a)
(n + 5)(n - 5)
b)
(n + 25)(n + 1)
c)
(n - 5)2
d)
(n + 5)2
74.
Factor: x2 - 30x + 225
a)
(x + 15)2
b)
(x - 15)2
c)
(x + 25)2
d)
(x - 25)2
75.
Find the missing value "c" to create a perfect square trinomial:
x2 + 16x + ___
x2 + 16x + ___
a)
64
b)
8
c)
-8
d)
16
76.
Find the missing value "c" to create a perfect square trinomial:
x2 – 32x + ___
x2 – 32x + ___
a)
256
b)
200
c)
32
d)
16
77.
x3-5x2+5x-25
a)
(x2-5)(x-5)
b)
(x2+5)(x-5)
c)
(x2+5)(x+5)
d)
(x2-1)(x-25)
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