WorksheetsExponents, Polynomial & Factoring Review
Total questions: 64
Worksheet time: 5hrs 59mins
Name
Class
Date
1.
What is a method of checking your work when factoring?
a)
FOIL
b)
asking the teacher every time
c)
assume you're correct
d)
division
2.
What do you call a polynomial that cannot be factored?
a)
FOIL
b)
Simplified
c)
Prime
d)
Proper
3.
What is the first step when factoring polynomials?
a)
Find the GCF
b)
List all the terms
c)
Make a triangle
d)
Write the answer
4.
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)
5.
Factor:
2m² + 3m - 9
2m² + 3m - 9
a)
2(m + 3)(m - 3)
b)
(2m - 3)²
c)
(m + 3)(2m - 3)
d)
(2m + 3)(m - 3)
6.
Factor
9x2-6x-8
9x2-6x-8
a)
(3x+2)(3x-4)
b)
(3x+2)(3x+4)
c)
(3x-2)(3x-4)
d)
(x-1)(9x+8)
7.
Factor
4x2-25x+25
4x2-25x+25
a)
4(x-5)(x+5)
b)
(x+5)(4x+5)
c)
(x-5)(4x-5)
d)
(x+2)(9x+1)
8.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
9.
Factor:
3x² + 5x - 12
3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
10.
Factor by grouping:
3x3-x2+6x-2
3x3-x2+6x-2
a)
(x2+2)(3x+1)
b)
(x2+2)(3x-1)
c)
(3x3+6x)(x2-2)
d)
none of the aboe
11.
Factor by grouping:
3x3-x2+6x-2
3x3-x2+6x-2
a)
(x2+2)(3x+1)
b)
(x2+2)(3x-1)
c)
(3x3+6x)(x2-2)
d)
none of the aboe
12.
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)
13.
Factor by grouping:
x³+7x²-2x-14
x³+7x²-2x-14
a)
(x²-2)(x-7)
b)
(x²+2)(x-7)
c)
(x²+2)(x+7)
d)
(x²-2)(x+7)
14.
Factor by grouping:
4p³+8p²+3p+6
4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
15.
Factor by grouping:
12a2 - 15ab - 16a + 20b
12a2 - 15ab - 16a + 20b
a)
3a ( 4a - 5b) - 4 ( 4a - 5b )
b)
( 4a - 5b)( 3a - 4 )
c)
( 6a - 10b )( 2a - 2b)
d)
Prime
16.
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)
17.
Factor by grouping:
4p³+8p²+3p+6
4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
18.
Factor the following:
x2 + 18x + 81
x2 + 18x + 81
a)
(x + 9)(x – 9)
b)
(x + 18)2
c)
(x + 9)2
d)
(x + 6)2
19.
Factor using GCF.
5x3-7x2
5x3-7x2
a)
x2(5x-7)
b)
x(5x2-7x)
c)
x3(5-7x)
d)
Prime
20.
Factor using GCF.
16x2-32x
16x2-32x
a)
8x(2x-4)
b)
16(x2-2x)
c)
16x(x-2)
d)
Prime
21.
Factor by GCF:
6m2 + 16m
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
22.
Factor by using GCF:
2n2-8n3
2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n2)
c)
2n3(10-8n2)
d)
3n(1-4n)
23.
Factor x2 + 9x + 20
a)
(x + 2)(x + 10)
b)
(x + 3)(x + 4)
c)
(x + 4)(x + 5)
d)
(x + 4)(x + 6)
24.
Factor d2 - 10d + 25
a)
(d + 5) (d - 5)
b)
(d - 15) (d + 10)
c)
(d + 5) (d - 20)
d)
(d - 5) (d - 5)
25.
What is the GCF? 3x2-2x
a)
3
b)
3x
c)
x
d)
2
26.
Factor
12j2k3 - 20hj
12j2k3 - 20hj
a)
4j(3jk3 - 5h)
b)
4j(6jk3 - 10h)
c)
4j(3jk2 - 5h)
d)
4j2(24j2k3 - 20h)
27.
Factor
5ab2c11 + 2bc5
5ab2c11 + 2bc5
a)
bc5(5ab2c6 + 2b)
b)
bc5(5abc6 + 2)
c)
b2c5(5bc6 + 2)
d)
c4(5a2b2c7 + 2bc)
28.
Find the greatest common factor: 6x4y3-12x4y2+6x3y2
a)
6
b)
6xy
c)
6x3y2
d)
6x9y6
29.
Factor using Difference of Squares.
x2 + 25
x2 + 25
a)
(x-5)(x+5)
b)
(x+25)(x-25)
c)
(x-5)
d)
Prime
30.
Factor using Difference of Squares.
25x2 - 144y2
25x2 - 144y2
a)
(5x-12y)
b)
(5x-12y)(5x+12y)
c)
(25x-144y)(25x+144y)
d)
Prime
31.
Which binomials are a difference of two squares?
I. 6a2-25
II. 4x2+16
III. b2-9
IV. 49y2-64
I. 6a2-25
II. 4x2+16
III. b2-9
IV. 49y2-64
a)
I only
b)
III only
c)
III and IV
d)
II, III, and IV
32.
Factor
k2+7x+10
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
33.
Factor
k2 -2k - 24
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
34.
Factor completely:
3x2 + 18x +15
Hint: Factor GCF first.
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Not Factorable
35.
Factor completely:
3x2 + 18x +15
Hint: Factor GCF first.
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
36.
To factor x2+13x+42, think of two numbers whose (blank) is 42 and whose (blank) is 13.
a)
product, sum
b)
sum, product
c)
You guess until it is right
37.
What is the first question you ask yourself when factoring a polynomial?
a)
How many terms does it have?
b)
Is there a GCF?
c)
What strategy should I use?
d)
Why do I have to learn this?!?!?!
38.
x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
39.
x2 - 16
a)
Prime
b)
( x - 4) ( x + 4)
c)
( x - 8) ( x + 8)
d)
( x - 4) ( x - 4)
40.
x2 - 225
a)
( x + 15) ( x + 15)
b)
Prime
c)
( x - 15) ( x + 15)
d)
( x - 15) ( x - 15)
41.
x2 + 81
a)
Prime
b)
( x - 9 ) ( x + 9 )
c)
( x + 9 ) ( x + 9 )
d)
( x - 9 ) ( x - 9 )
42.
Fully Factor the Following
16x2+25
16x2+25
a)
Prime
b)
(4x-5)(4x+5)
c)
(4x+5)(4x-5)
d)
(4x+5)2
43.
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
44.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 7y2 - 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
45.
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
46.
Simplify the expression.
(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
47.
6m + 3z + 4m + 2w - 5z
a)
10m + 2z -2w
b)
m + z + w
c)
10m - 2z + 2w
d)
2m - 2z + 2w
48.
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
49.
Find the product:
(y - 3)(y + 7)
(y - 3)(y + 7)
a)
y2 - 21
b)
y2 + 10x - 21
c)
y2 + 4y - 21
d)
2y - 10
50.
Simplify the expression.
x3(2x2+3x)
x3(2x2+3x)
a)
2x5+3x4
b)
2x6+3x3
c)
5x9
d)
5x
51.
Simplify the expression.
-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
52.
(x-3)(x2+2x+7)
a)
x3-x2+x-21
b)
x3+5x+13x-21
c)
x3-3x2+7x-21
d)
x2+2x-3
53.
Xm • Xn
a)
XMN
b)
XM+N
c)
Xm+n
54.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
55.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
56.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
57.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
58.
How do you solve:
(2x5)(6x4)
(2x5)(6x4)
a)
MULTIPLY coefficients
MULTIPLY exponents
MULTIPLY exponents
b)
DIVIDE coefficients
SUBTRACT exponents
SUBTRACT exponents
c)
Combine like terms
d)
MULTIPLY coefficients
ADD exponents
ADD exponents
59.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
60.
(2x7)3
a)
6x21
b)
8x21
c)
6x10
d)
8x10
61.
x8 / x2
a)
x4
b)
x16
c)
x-6
d)
x6
62.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
63.
-4x0
a)
-4x
b)
-4
c)
1
d)
-1
64.
3-3
a)
27
b)
-9
c)
-1/9
d)
1/27
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