wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Factoring Quiz Review

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.
Factor
k2+7k+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
2.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
3.
factor:x- 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
4.
Factor
9x2+9x-10
a)
(3x-5)(3x+2)
b)
(3x+5)(3x-2)
c)
(3x+5)(3x+2)
d)
Not Factorable
5.
Factor
x+ 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
6.
Factor
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
7.
Factor
r2 -16r + 60
a)
(r - 15)(r + 4)
b)
(r - 6)(r + 10)
c)
(r - 6)(r - 10)
d)
(r +30)(r - 2)
8.
Factor
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
9.
Which of the following is a factor of
r2 -16r + 60 ?
a)
r + 6
b)
r + 10
c)
r - 6
d)
r -30
10.
Factor
4x2-25x+25
a)
4(x-5)(x+5)
b)
(x+5)(4x+5)
c)
(x-5)(4x-5)
d)
(x+2)(9x+1)
11.
Factor by grouping
x3 - 4x2 -4x + 16
a)
(x+4)(x+2)
b)
(x-4)(x2 -4) 
c)
(x+4)(x2 -4)
d)
(x-4)(x-2)
12.
2x3-8x2-x+4
a)
(2x2-1)(x-4)
b)
2(x2-1)(x+4)
c)
(x2-1)(2x-4)
d)
(2x2+1)(x-4)
13.
Is factoring fun?
a)
YES
b)
NO
c)
NO
d)
NO
14.

Factor: 6x2 + 21x + 4x + 14

a)

(3x - 2)(2x - 7)

b)

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

c)

(3x + 2)(2x + 7)

d)

6(x + 2)(x - 7)

15.

30x3+15x2-18x-9

a)

(15x2-9)(2x+1)

b)

(5x2-3)(6x+3)

c)

3(5x2+3)(2x-1)

d)

3(5x2-3)(2x+1)

16.

7x2+24x+9

a)
(7x-3)(x-3)
b)
(7x+3)(x+3)
c)
(7x+1)(x+9)
d)
(7x+9)(x+1)
17.

Factor the expression completely:

x2121x^2-121  

a)

Not Factorable

b)

(x11)2\left(x-11\right)^2  

c)

(x+11)2\left(x+11\right)^2  

d)

(x+11)(x11)\left(x+11\right)\left(x-11\right)  

18.

Factor the expression completely:

x249x^2-49  

a)

Not Factorable

b)

(x7)(x+7)\left(x-7\right)\left(x+7\right)  

c)

(x7)2\left(x-7\right)^2  

d)

(x+7)2\left(x+7\right)^2  

19.

Factor the expression completely:

25x2+425x^2+4  

a)

Not Factorable

b)

(5x2)(5x+2)\left(5x-2\right)\left(5x+2\right)  

c)

(5x4)(5x1)\left(5x-4\right)\left(5x-1\right)  

d)

(5x+4)(5x+1)\left(5x+4\right)\left(5x+1\right)  

20.

Factor the expression completely:

49x23649x^2-36  

a)

Not Factorable

b)

(7x9)(7x+4)\left(7x-9\right)\left(7x+4\right)  

c)

(7x4)(7x+9)\left(7x-4\right)\left(7x+9\right)  

d)

(7x+6)(7x6)\left(7x+6\right)\left(7x-6\right)  

21.

What is ALWAYS the first step when factoring?

a)

Look for the GCF

b)

Write a, b, and c

c)

Difference of squares

d)

Group

22.

Factor 4x2-9

a)

(4x-9)(4x+9)

b)

(2x-3)(2x+3)

c)

2x-3

d)

(2x-4.5)(2x+4.5)

23.

Factor the polynomial.

12x5+16x312x^5+16x^3   

a)

  4x3(3x5+4x)4x^3\left(3x^5+4x\right)  

b)

  2x3(6x2+8)2x^3\left(6x^2+8\right)  

c)

  4x3(3x2+4)4x^3\left(3x^2+4\right)  

d)

  6x(2x4+3x2)6x\left(2x^4+3x^2\right)  

24.
Factor:
56a3-8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
25.
Factor:
x2 - 5x
a)
1(x - 5)
b)
x(x - 5x)
c)
x(x - 5)
d)
x2(1 - 5)