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Factorization

Total questions: 20

Worksheet time: 2hrs 10mins

Name
Class
Date
1.

Factorize and choose the correct answer
a2 + bc + ab + ac

a)

(a+c) (b+c)

b)

a (a+b+c)

c)

(a+b) (b+c)

d)

(a+b)  (a+c)

2.
4b2 - 12b + 2b - 6
a)
(b - 3)(4b + 2)
b)
2(2b + 1)(b - 3)
c)
(4b + 3)(b - 2)
d)
(4b - 3)(b + 2)
3.
2x2 + 2x + 3x + 3
a)
(2x +1)(2x + 3)
b)
(2x + 2)(x + 1)
c)
(x + 3)(2x + 1)
d)
(x + 1)(2x + 3)
4.
9x2 - 3xy + 6x - 2y
a)
(9x + y)(x - 2)
b)
(9x - y)(x + 2)
c)
(3x - y)(3x +2)
d)
(3x + y)(3x - 2)
5.
12x2 - 15xy - 16x + 20y
a)
(4x - 5y)(3x + 4)
b)
(3x - 5y)(4x + 4)
c)
(4x - 5y)(3x - 4)
d)
(3x + 5y)(4x - 4)
6.
Factor by grouping:
3x3-x2+6x-2
a)
(x2+2)(3x+1)
b)
 (x2+2)(3x-1)
c)
(3x3+6x)(x2-2)
d)
none of the aboe
7.
Factor by grouping:
5n³-10n²+3n-6
a)
(5n²+3)(n-2)
b)
(5n²-3)(n-2)
c)
(5n³+3)(n-2)
d)
10n(n²-6)
8.
20x3-25x2+4x-5
a)
(5x2-5)(4x+1)
b)
5(x2-1)(4x+5)
c)
(5x2+1)(4x-5)
d)
(5x2+1)(4x-1)
9.
Choose the correct answer:
a2 + bc + ab + ac = ______
a)
(a + b) (a + c)
b)
(a + b) (b + c)
c)
(a + c) (b + c)
d)
a (a + b + c)
10.
Factor by grouping:
4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
11.

Factorize pa+qa+px+qx

a)

(a+q)(p+x)

b)

(x+p)(a+q)

c)

(a+x)(p+q)

d)

(a-q)(x-p)

12.

Factorize ax-by-ay+bx

a)

(a+b)(x+y)

b)

(a+b)(x-y)

c)

(a-b)(x-y)

d)

(a-b)(x+y)

13.

Factorize axy-bcz+bcxy-az

a)

(a+bc)(xy-z)

b)

(a-b)(x-y)z

c)

a(b-c)(xy-z)

d)

x(a+b)c(x-z)

14.

Factorize 3xy+6y-5x-10

a)

(3y+5)(x+2)

b)

(3x-5)(y-2)

c)

(3y-5)(x+2)

d)

(3y+5)(x-2)

15.
Factor p- 3p2 - 16p + 48 
a)
p2 ( p - 3) (p - 3) 
b)
(p2 - 16) (p - 3)  
c)
(p + 4) (p - 4) (p - 3) 
16.

7r3 - 8r2 + 42r - 48

a)

(r2+6)(7r+8)

b)

(r2+6)(7r-8)

c)

(r2+6)(r2+8)

d)

(r2+6)(7r+6)

17.
x3-5x2+5x-25
a)
(x2-5)(x-5)
b)
(x2+5)(x-5)
c)
(x2+5)(x+5)
d)
(x2-1)(x-25)
18.
Factor by grouping:
x³+7x²-2x-14
a)
(x²-2)(x-7)
b)
(x²+2)(x-7)
c)
(x²+2)(x+7)
d)
(x²-2)(x+7)
19.
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)
20.
Factor by grouping:
4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)