WorksheetsFactoring Review
Total questions: 35
Worksheet time: 2hrs 5mins
Name
Class
Date
1.
Factor
10x2 + 15x-5
10x2 + 15x-5
a)
25(10x3+45x-15)
b)
5(2x3 + 3x2-x)
c)
x(10x3+15x-5)
d)
5(2x2+3x-1)
2.
Factor
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)
3.
Factor
k2+7k+10
k2+7k+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
4.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
5.
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)
6.
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)
7.
Factor
n2-13n+40
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
8.
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)
9.
Factor
2x2 - 13x - 70
2x2 - 13x - 70
a)
(2x-7)(x+10)
b)
(7x+5)(x+2)
c)
(2x+7)(x-10)
d)
2(x+7)(x+10)
10.
Factor
5x2-28x+32
5x2-28x+32
a)
(3x-10)(x+6)
b)
(x-8)(5x-4)
c)
(5x-8)(x-4)
d)
(5x-8)(x+7)
11.
Factor
4n2-17n-15
4n2-17n-15
a)
(n-10)(6n+1)
b)
(4n-5)(n-3)
c)
(n-5)(4n-3)
d)
(n-5)(4n+3)
12.
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)
13.
Factor
9x2+9x-10
9x2+9x-10
a)
(3x-5)(3x+2)
b)
(3x+5)(3x-2)
c)
(3x+5)(3x+2)
d)
Not Factorable
14.
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)
15.
Factor
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)
16.
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)
17.
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
18.
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
19.
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
20.
Which binomials are a difference (subtraction) 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
21.
Which expression is equivalent to
81m2 - 1
a)
prime
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
22.
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
23.
What do you call a polynomial that cannot be factored?
a)
FOIL
b)
Simplified
c)
Prime
d)
Proper
24.
Factor:
x2 - x - 42
x2 - x - 42
a)
(x + 7)(x - 6)
b)
Prime
c)
(x + 6)(x - 7)
d)
(x + 1)(x - 42)
25.
Factor Completely:
x2 + x - 6
x2 + x - 6
a)
(x + 2)(x + 3)
b)
(x + 6)(x -1)
c)
(x + 3)(x - 2)
d)
(x +1)(x - 6)
26.
Factor Completely:
x2 - 12x + 35
x2 - 12x + 35
a)
(x + 5)(x + 7)
b)
(x - 5)(x - 7)
c)
(x - 5)(x + 7)
d)
(x + 5)(x - 7)
27.
Factor Completely:
x2 + 8x + 16
x2 + 8x + 16
a)
(x + 4)(x + 4)
b)
(x - 4)(x + 4)
c)
(x - 2)(x + 8)
d)
(x + 8)(x + 2)
28.
Factor Completely:
x2 - 36
x2 - 36
a)
(x + 9)(x - 4)
b)
(x - 6)(x - 6)
c)
(x - 9)(x + 4)
d)
(x + 6)(x - 6)
29.
Factor Completely:
2x2 - 2x - 6
2x2 - 2x - 6
a)
2(x + 3)(x - 1)
b)
2(x + 2)(x - 3)
c)
2(x2 - x - 3)
d)
2(x2 - 2x - 6)
30.
Factor:
p2 - 14p
p2 - 14p
a)
p(1 - 14)
b)
2p(p - 7)
c)
p2(1-14)
d)
p(p - 14)
31.
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
32.
What is the GCF of the trinomial?
3x2 - 9x -120
3x2 - 9x -120
a)
3
b)
2
c)
6
d)
9
33.
Which is another way of correctly expressing
(x - 3)(x - 3)?
(x - 3)(x - 3)?
a)
(x2 - 32)
b)
(x2 - 3)
c)
(x + 3)(x - 3)
d)
(x - 3)2
34.
Factor:
x2 - 49
x2 - 49
a)
(x + 7)(x - 7)
b)
(x + 7)2
c)
(x - 7)2
d)
(x+7)(x-1)
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
100 %
