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WorksheetsAdd, Subtract, Multiply, and factor Polynomials
Total questions: 46
Worksheet time: 2hrs 18mins
Name
Class
Date
1.
Name the expression.
a)
monomial
b)
binomial
c)
trinomial
2.
Name the expression.
a)
monomial
b)
binomial
c)
trinomial
3.
Name the expression.
a)
monomial
b)
binomial
c)
trinomial
4.
Name the expression.
a)
monomial
b)
binomial
c)
trinomial
5.
Classify by the DEGREE:
3x - 2
3x - 2
a)
1
b)
2
c)
3
d)
4
6.
Select all the polynomials
a)
a
b)
b
c)
c
d)
d
7.
select all those that are not polynomials
a)
a
b)
b
c)
c
d)
d
8.
Multiply:
5(3x+2)
a)
3x+10
b)
15x+10
c)
15x-10
d)
3x-10
9.
Simplify:
2x (-2x - 3)
2x (-2x - 3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
10.
Multiply.
(x + 2)(x + 3)
(x + 2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
11.
Multiply.
-3x2(7x2 - x + 4)
-3x2(7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
12.
Multiply.
(5x + 2)(x2 - 3x + 6)
(5x + 2)(x2 - 3x + 6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
13.
(d4)(d5)
a)
2d4
b)
d9
c)
d2
d)
2d
14.
(4x)(2x2)
a)
8x
b)
6x3
c)
8x3
d)
8x2
15.
(-4x)(2y)
a)
-8xy
b)
-8xy2
c)
-4xy
d)
2xy
16.
Simplify (-7y2)(5y4)
a)
-35y6
b)
-2y6
c)
-35y8
d)
-2y8
17.
Factor:
56a3-8a
56a3-8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
18.
Factor:
2n2-8n3
a)
2n2(n-4n2)
b)
-2n2(4n2-1)
c)
2n3(10-8n2)
d)
3n(1-4n)
19.
Factor:
2n3+16n+12
2n3+16n+12
a)
2n(n3+24n+6)
b)
2(n3+8n+6)
c)
2n(n3+8n+6)
d)
3(n3+8n+6)
20.
GCF of 12 and 18
a)
3
b)
4
c)
6
d)
2
21.
What is the GCF? 5x2+20x
a)
5
b)
x
c)
5x
d)
20x
22.
What is the GCF? 3x2-2x
a)
3
b)
3x
c)
x
d)
2
23.
Factor by using GCF:
8n3 + 2n2
8n3 + 2n2
a)
2n2(4n-1)
b)
2n2(4n + 1)
c)
n2(8n+2)
d)
3n(4n+1)
24.
Factor:
2n2-8n3
2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n2)
c)
2n3(10-8n2)
d)
3n(1-4n)
25.
Factor:
x2 + 11x + 24
a)
(x + 6)(x + 4)
b)
(x + 12)(x + 2)
c)
(x - 8)(x - 3)
d)
(x + 8)(x + 3)
26.
Factor:
x2 + 25x + 24
x2 + 25x + 24
a)
(x + 5)(x + 5)
b)
(x + 24)(x + 1)
c)
(x + 12)(x + 2)
d)
(x + 8)(x + 3)
27.
Factor:
x2 - 14x + 24
x2 - 14x + 24
a)
(x - 8)(x - 3)
b)
(x - 12)(x - 2)
c)
(x - 6)(x - 4)
d)
(x - 24)(x - 1)
28.
Find the factors of 4x2-16x-9
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)
29.
What are the factors of 3x2-17x+10
a)
(x-5)(3x-2)
b)
(x+5)(3x+2)
c)
(3x-5)(x-2)
d)
(x+5)(3x-2)
30.
Factor
3a2 + 4a + 1
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
31.
Factor: 5n² - 6n - 27
a)
(5n + 3)(n-9)
b)
(5n - 3)(n + 9)
c)
(5n + 9)(n - 3)
d)
(5n - 9)(n + 3)
32.
Factor (hint...take out the greatest common factor first)
2c2 + 2c - 84
2c2 + 2c - 84
a)
(c-6)(2c+14)
b)
(c+7)(2c-12)
c)
(c-4)(2c+21)
d)
2(c+7)(c-6)
33.
x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 25 ) ( x - 25 )
d)
Prime
34.
9x2 - 49y6
a)
(3x + 7y3)(3x + 7y3)
b)
(3x - 7y3)(3x + 7y3)
c)
(3x - 7y3)(3x - 7y3)
d)
Prime
35.
4x2 - 25y2
a)
Prime
b)
( 2x - 5) (2x + 5)
c)
( 4x - 5y) (4x - 5y)
d)
( 2x - 5y) (2x + 5y)
36.
Fully Factor the Following
4x2-16
4x2-16
a)
(2x-4)(2x+4)
b)
(4x-4)(4x+4)
c)
4(x-2)2
d)
4(x-2)(x+2)
37.
Fully Factor the Following
16x2+25
16x2+25
a)
Prime
b)
(4x-5)(4x+5)
c)
(4x+5)(4x-5)
d)
(4x+5)2
38.
Factor (Hint: Look for GCF, first!)
3x2 - 75
3x2 - 75
a)
3( x + 5 )( x - 5 )
b)
Prime
c)
( 3x + 9 )( 3x - 9 )
d)
3( x - 6 )( x + 6 )
39.
49n2 - 25
a)
Not Factorable
b)
(3n + 5)(3n - 5)
c)
(7n + 5)(7n - 5)
d)
(5n + 7)(5n - 7)
40.
Factor
x2 + 18x + 81
x2 + 18x + 81
a)
(x + 9)(x – 9)
b)
(x + 18)2
c)
(x + 9)2
d)
(x + 6)2
41.
Is this a perfect square trinomial?
x2 + 18x + 9
x2 + 18x + 9
a)
Yes
b)
No
42.
Is this a perfect square trinomial?
x2 + 6x + 9
x2 + 6x + 9
a)
Yes
b)
No
43.
Factor
x2 + 18x + 81
x2 + 18x + 81
a)
(x + 9)(x – 9)
b)
(x + 18)2
c)
(x + 9)2
d)
(x + 6)2
44.
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
45.
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
46.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
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