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wahed82

Total questions: 156

Worksheet time: 11hrs 4mins

Name
Class
Date
1.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
2.
Factor:
x+ 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
3.
Factor
x2 + x - 6
a)
(x + 2)(x + 3)
b)
(x + 6)(x -1)
c)
(x + 3)(x - 2)
d)
(x +1)(x - 6)
4.
Factor
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
5.
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)
6.
x- 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
7.
4x- 64y2
a)
Prime
b)
( 2x - 32y) (2 x + 32y) 
c)
( 2x - 8y) (2 x - 8y) 
d)
( 2x - 8y) (2 x + 8y) 
8.
25x2y2 - 100
a)
( 5xy - 10) (5xy + 10) 
b)
( 5xy + 10) (5xy + 10) 
c)
Prime
d)
( 5xy - 50) (5xy + 50) 
9.
9x- 49y6
a)
( 3x + 7y3) (3x + 7y3
b)
( 3x - 7y3) (3x + 7y3
c)
( 3x - 7y3) (3x - 7y3
d)
Prime
10.
Simplify the product.  Write the answer in standard form.
(x+2)(x-5)
a)
x²-3x-10
b)
2x²-3
c)
x²-10
d)
x²+2x-10
11.
x- 400
a)
( x - 200) ( x + 200) 
b)
( x + 20) ( x + 20) 
c)
Prime
d)
( x - 20) ( x + 20) 
12.
Determine the values of
a, b, and c for
the quadratic equation: 
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
13.
Solve for x.  Round to the nearest hundredth if necessary.
3x= 27
a)
x = 9
b)
x = 3
c)
x = -3, 3
d)
x = x = -9, 9
14.
What are the solutions to this equation?
(3x-2)(5x+1)=0
a)
x=5/2,-1/3
b)
x=1/5,-2/3
c)
x=1/3,-5/2
d)
x=2/3,-1/5
15.
What are the solutions of the equation x2+8x+15=0?  (Solve by factoring)
a)
-5,-3
b)
-3,5
c)
-5,3
d)
3,5
16.

FACTORISE

x2-11x+30

a)

(x-6)(x-5)

b)

(x-6)(x+5)

c)

(x-6)(x+5)

d)

IMPOSIBLE

17.

FactoriSE

3a²b + 3ab²

a)

3a(b + 2b)

b)

3(ab + ab²)

c)

3ab(a + b)

d)

3a²b(1 + b)

18.

Factorise

k2-2k+1

a)

(k4+2)2

b)

(k2+1)2

c)

(k-1)2

19.

Factorise

4 - a2

a)

(a+2)(a-2)

b)

(2a+a)(2a-1)

c)

(2+a)(2-a)

d)

(a2+2)(a2+2)

20.

FACTORISE

m² + 3m + 2

a)

(m + 2)(m + 3)

b)

(m + 2)(m + 1)

c)

(m + 3)

d)

(m + 4)(m - 3)

21.

FACTORISE:

6x² + 13x + 6

a)

(6x + 6)(x + 1)

b)

(4x + 2)(2x + 3)

c)

(x + 5)(4x + 4)

d)

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

22.

FACTORISE

4x2- 25

a)

(4x2-25)(4x2+25)

b)

(2x+5)(2x-5)

c)

(2x+5)2

23.

FACTORISE

ax + bx + x

a)

x(a + b + 1)

b)

x(a + b)

c)

x(x + b + a)

d)

x(x + b + 1)

24.

FACTORISE

x2-11x+30

a)

(x-6)(x-5)

b)

(x-6)(x+5)

c)

(x-6)(x+5)

d)

IMPOSIBLE

25.

FactoriSE

3a²b + 3ab²

a)

3a(b + 2b)

b)

3(ab + ab²)

c)

3ab(a + b)

d)

3a²b(1 + b)

26.

The factorisation of 12x+36 is

a)

12(x+3)

b)

12(3x)

c)

12(3x+1)

d)

x(12+36x)

27.

The factors of 4y2 – 12y + 9 is

a)

(2y+3)2

b)

(2y-3)2

c)

(2y-3)(2y+3)

d)

None of the above

28.

The factors of 49p2 – 36 are:

a)

(7p+6)2

b)

(7p-6)2

c)

(7p – 6 ) ( 7p + 6)

d)

None of the above

29.

When we factorise x2+5x+6, then we get:

a)

(x +2) (x + 3)

b)

(x – 2) (x – 3)

c)

(x × 2) + (x × 3)

d)

(x × 2) – (x × 3)

30.

The factors of 3m2 + 9m + 6 are:

a)

(m + 1) (m + 2)

b)

3(m + 1) (m + 2)

c)

6(m + 1) (m + 2)

d)

9(m + 1) (m + 2)

31.

Which of the following is equal to x3 – 225x

a)

x(1 – 15x) (1 + 15x)

b)

x(x – 15) (x + 15)

c)

x(1 – 15x) (1 – 15x)

d)

x(1 + 15x) (1 – 15x).

32.

Which are the factors in common of

20ab2-5ab-10a3b

a)

5ab

b)

5a3b2

c)

5a3b

d)

None of these

33.

Factorise

k2-2k+1

a)

(k4+2)2

b)

(k2+1)2

c)

(k-1)2

d)

None of these

34.

Factorise 9x-9

a)

9(x)

b)

9(x−9)

c)

9(x−1)

d)

9(x+1)

35.

Factorise 21x-14


a)

14(21x)

b)

14(21x−1)

c)

7(3x-2)

d)

7(3x−14)

36.

Factorise 12x+36

a)

12(3x+1)

b)

x(12+36x)

c)

12(3x)

d)

12(x+3)

37.

Choose the correct answer:

The factors of a4 - b4 is _____

a)

(a2 + b2) (a2 + b2)

b)

(a2 - b2) (a2 - b2)

c)

(a2 + b2) (a + b) (a - b)

d)

None of these

38.

What is the greatest common factor of 18 , 9 , 48 and 27

a)

3

b)

15

c)

9

d)

18

39.

A student factored: k2+13k+42k^2+13k+42 . She found that 1 factor was  (k+6)\left(k+6\right) .  What was the other factor? 

a)

(k+5)\left(k+5\right)  

b)

(k+6)\left(k+6\right)  

c)

(k+7)\left(k+7\right)  

d)

(k+8)\left(k+8\right)  

40.
2x2 + 20x + 32
a)
unfactorable
b)
(2x+8)(x+2)
c)
(x+8)(2x+2)
d)
2(x+8)(x+2)
41.
Factor:
x2 - 5x
a)
1(x - 5)
b)
x(x - 5x)
c)
x(x - 5)
d)
x2(1 - 5)
42.
a)

A

b)

B

c)

C

d)

D

43.
a)

A

b)

B

c)

C

d)

D

44.
a)

A

b)

B

c)

C

d)

D

45.
a)

A

b)

B

c)

C

d)

D

46.
a)

A

b)

B

c)

C

d)

D

47.

Factorise 21x-14


a)

14(21x)

b)

14(21x−1)

c)

7(3x-2)

d)

7(3x−14)

48.

Expand and simplify 4(5a + c) + 3(2a – 3c)

a)

26a + 5c

b)

26a – 13c

c)

31ac

d)

26a – 5c

49.

Factorise fully 18x + 24

a)

3(6x + 8)

b)

2(9x + 12)

c)

6(3x + 4)

d)

6x(3x + 4)

50.

x2 + 8x + 16

a)

(x + 4)(x - 4)

b)

(x + 4)2

c)

x(x + 8) + 16

d)

(x - 4)2

51.

Factorise 11x + 121xy

a)

11(x + 11xy)

b)

7x(1 + 11y)

c)

x( 11 + 121y)

d)

11x(1 + 11y)

52.

Expand - x(2 - 3x)

a)

- 2x + 3x2

b)

- 2x - 4x

c)

- 2 + 3x2

d)

- 2x -3x2

53.
Factor:
x+ 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
54.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
55.
Factor
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
56.
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)
57.
x- 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
58.
25x2y2 - 100
a)
( 5xy - 10) (5xy + 10) 
b)
( 5xy + 10) (5xy + 10) 
c)
Prime
d)
( 5xy - 50) (5xy + 50) 
59.
Simplify the product.  Write the answer in standard form.
(x+2)(x-5)
a)
x²-3x-10
b)
2x²-3
c)
x²-10
d)
x²+2x-10
60.

Factorise

4 - a2

a)

(a+2)(a-2)

b)

(2a+a)(2a-1)

c)

(2+a)(2-a)

d)

(a2+2)(a2+2)

61.

FACTORISE

m² + 3m + 2

a)

(m + 2)(m + 3)

b)

(m + 2)(m + 1)

c)

(m + 3)

d)

(m + 4)(m - 3)

62.

FACTORISE

4x2- 25

a)

(4x2-25)(4x2+25)

b)

(2x+5)(2x-5)

c)

(2x+5)2

63.

FactoriSE

3a²b + 3ab²

a)

3a(b + 2b)

b)

3(ab + ab²)

c)

3ab(a + b)

d)

3a²b(1 + b)

64.

FACTORISE

m² + 3m + 2

a)

(m + 2)(m + 3)

b)

(m + 2)(m + 1)

c)

(m + 3)

d)

(m + 4)(m - 3)

65.

FactoriSE

3a²b + 3ab²

a)

3a(b + 2b)

b)

3(ab + ab²)

c)

3ab(a + b)

d)

3a²b(1 + b)

66.
Factor: x2 + 24x + 144
a)
(x + 12)2
b)
(x + 9)2
c)
(x + 15)2
d)
(x + 13)2
67.
6t2 - 4t - 3t + 2
a)
(6t - 1)(t - 2)
b)
(2t - 2)(3t - 1)
c)
(3t - 2)(2t - 1)
d)
(3t - 2)( 2t + 1)
68.

 factorize. 3x2 9x\ factorize.\ -3x^2\ -9x  

a)

3x(x+3)-3x\left(x+3\right)  

b)

3x(x+3)3x\left(x+3\right)  

c)

3x(x3)3x\left(-x-3\right)  

d)

3(x2 +3x)-3\left(x^2\ +3x\right)  

69.

 FACTORIZE    ax5a+4x20\ FACTORIZE\ \ \ \ ax-5a+4x-20  

a)

(x+5)(a4)\left(x+5\right)\left(a-4\right)  

b)

(x5)(a+4)\left(x-5\right)\left(a+4\right)  

c)

5x25a5x-25a  

d)

6a20ax6a-20ax  

70.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
71.
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)
72.
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)
73.

Factorise

k2-2k+1

a)

(k4+2)2

b)

(k2+1)2

c)

(k-1)2

74.

FACTORISE

x2-11x+30

a)

(x-6)(x-5)

b)

(x-6)(x+5)

c)

(x-6)(x+5)

d)

IMPOSIBLE

75.

FACTORIZE   a2b3a5b2+2a4b6FACTORIZE\ \ \ a^2b^3-a^5b^2+2a^4b^6  

a)

a2b2(1b3+2a2b4)a^2b^2\left(1-b^3+2a^2b^4\right)  

b)

a2b2(ba3+2a2b4)a^2b^2\left(b-a^3+2a^2b^4\right)  

c)

a2b2(b+a32a2b4)a^2b^2\left(b+a^3-2a^2b^4\right)  

d)

a2b2(1+b32a2b4)a^2b^2\left(1+b^3-2a^2b^4\right)  

76.
Factor
x2 + x - 6
a)
(x + 2)(x + 3)
b)
(x + 6)(x -1)
c)
(x + 3)(x - 2)
d)
(x +1)(x - 6)
77.
Factor:
x+ 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
78.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
79.
Factor
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
80.
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)
81.

Factorize:

x23x10x^2-3x-10  

a)

(x5)(x+2)\left(x-5\right)\left(x+2\right)  

b)

(x5)(x2)\left(x-5\right)\left(x-2\right)  

c)

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

d)

(x5)(x+2)\left(x-5\right)\left(x+2\right)  

82.

Factorize:

y2+9y+20y^2+9y+20  

a)

(y+5)(y4)\left(y+5\right)\left(y-4\right)  

b)

(y5)(y4)\left(y-5\right)\left(y-4\right)  

c)

(y+5)(y+4)\left(y+5\right)\left(y+4\right)  

d)

(y5)(y+4)\left(y-5\right)\left(y+4\right)  

83.

Factorize:

y2+9y+20y^2+9y+20  

a)

(y+5)(y4)\left(y+5\right)\left(y-4\right)  

b)

(y5)(y4)\left(y-5\right)\left(y-4\right)  

c)

(y+5)(y+4)\left(y+5\right)\left(y+4\right)  

d)

(y5)(y+4)\left(y-5\right)\left(y+4\right)  

84.

Factorize:

m2+5m24m^2+5m-24  

a)

(m8)(m+3)\left(m-8\right)\left(m+3\right)  

b)

(m8)(m3)\left(m-8\right)\left(m-3\right)  

c)

(m+8)(m+3)\left(m+8\right)\left(m+3\right)  

d)

(m+8)(m3)\left(m+8\right)\left(m-3\right)  

85.

Factorize:

q213q+36q^2-13q+36  

a)

(q9)(q4)\left(q-9\right)\left(q-4\right)  

b)

(q+9)(q+4)\left(q+9\right)\left(q+4\right)  

c)

(q+9)(q4)\left(q+9\right)\left(q-4\right)  

d)

(q9)(q+4)\left(q-9\right)\left(q+4\right)  

86.

Factorize:

2x2+7x+62x^2+7x+6  

a)

(2x3)(x+2)\left(2x-3\right)\left(x+2\right)  

b)

(2x3)(x2)\left(2x-3\right)\left(x-2\right)  

c)

(2x+3)(x+2)\left(2x+3\right)\left(x+2\right)  

d)

(2x+3)(x2)\left(2x+3\right)\left(x-2\right)  

87.

Factorize:

8x221x+108x^2-21x+10  

a)

(8x+5)(x+2)\left(8x+5\right)\left(x+2\right)  

b)

(8x5)(x2)\left(8x-5\right)\left(x-2\right)  

c)

(8x+5)(x2)\left(8x+5\right)\left(x-2\right)  

d)

(8x5)(x+2)\left(8x-5\right)\left(x+2\right)  

88.

Factorize:

4x2+17x+154x^2+17x+15  

a)

(4x5)(x+3)\left(4x-5\right)\left(x+3\right)  

b)

(4x+5)(x3)\left(4x+5\right)\left(x-3\right)  

c)

(4x5)(x3)\left(4x-5\right)\left(x-3\right)  

d)

(4x+5)(x+3)\left(4x+5\right)\left(x+3\right)  

89.

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)

90.
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)
91.
2x2 + 2x + 3x + 3
a)
(2x +1)(2x + 3)
b)
(2x + 2)(x + 1)
c)
(x + 3)(2x + 1)
d)
(x + 1)(2x + 3)
92.
9x2 - 3xy + 6x - 2y
a)
(9x + y)(x - 2)
b)
(9x - y)(x + 2)
c)
(3x - y)(3x +2)
d)
(3x + y)(3x - 2)
93.
12x2 - 15xy - 16x + 20y
a)
(4x - 5y)(3x + 4)
b)
(3x - 5y)(4x + 4)
c)
(4x - 5y)(3x - 4)
d)
(3x + 5y)(4x - 4)
94.
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
95.
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)
96.
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)
97.
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)
98.
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)
99.

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)

100.

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)

101.

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)

102.
Factor p- 3p2 - 16p + 48 
a)
p2 ( p - 3) (p - 3) 
b)
(p2 - 16) (p - 3)  
c)
(p + 4) (p - 4) (p - 3) 
103.

7r3 - 8r2 + 42r - 48

a)

(r2+6)(7r+8)

b)

(r2+6)(7r-8)

c)

(r2+6)(r2+8)

d)

(r2+6)(7r+6)

104.
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)
105.
Factor:
x+ 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
106.
Factor
x+ 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
107.
Factor
n2 + 5n - 6
a)
(n - 2)(n - 3)
b)
(n - 1)(n + 6)
c)
(n + 1)(n - 6)
d)
(n + 2)(n - 3)
108.
Factor
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
109.

Factor

r2 -16r + 60

a)

(r - 15)(r + 4)

b)

(r - 6)(r + 10)

c)

(r - 6)(r - 10)

d)

(r +30)(r - 2)

110.
Factor:
p2 - 14p
a)
p(1 - 14)
b)
2p(p - 7)
c)
p2(1-14)
d)
p(p - 14)
111.

Factor:

x2 -12x + 36

a)

(x - 6)(x + 6)

b)

(x6)2\left(x-6\right)^2

c)

(x - 12)(x + 3)

d)

(x + 18)(x - 2)

112.
What do you call a polynomial that cannot be factored?
a)
FOIL
b)
Simplified
c)
Prime
d)
Proper
113.
What is the GCF of the trinomial?
3x- 9x -120
a)
3
b)
2
c)
6
d)
9
114.

Factor:

x2 - 121

a)

(x + 4)(x + 5)

b)

(x + 20)(x + 1)

c)

prime

d)

(x11)2\left(x-11\right)^2

115.
Factor
x2 - 5x - 36
a)
(x - 4)(x + 9)
b)
(x - 6)(x + 6)
c)
(x + 4)(x - 9)
d)
(x -12)(x + 3)
116.

m2 + 8m + 12

a)

(m + 6) (m + 2)

b)

(m + 8) (m - 3)

c)

(m + 14) (m + 4)

d)

(m - 8) (m - 12)

117.

b2 - 6b + 8

a)

(b - 4) (b - 2)

b)

(b + 4) (b -4)

c)

(b + 12) (b - 6)

d)

(b - 4) (b + 2)

118.
Which is another way of correctly expressing
 (x  - 3)(x - 3)?
a)
(x2 - 32)
b)
(x2 - 3)
c)
(x + 3)(x - 3)
d)
(x - 3)2
119.

10x2y  15xy210x^2y\ -\ 15xy^2  The HCF of this expression is

a)

3xy

b)

2y

c)

5xy

d)

xy

120.

Factorise 4uv3v4uv-3v  

a)

v(4u3)v\left(4u-3\right)  

b)

4v(u3)4v\left(u-3\right)  

c)

u(4v3v)u\left(4v-3v\right)  

d)

4uv(3v)4uv\left(3v\right)  

121.

Factorise 6x2+12x6x^2+12x  

a)

2x(3x+6)2x\left(3x+6\right)  

b)

3x(2x+4)3x\left(2x+4\right)  

c)

6x(x+2)6x\left(x+2\right)  

d)

x(6x+12)x\left(6x+12\right)  

122.

Factorise 4xy6xz4xy-6xz  

a)

x(4y6z)x\left(4y-6z\right)  

b)

2x(2y3z)2x\left(2y-3z\right)  

c)

2(2xy3xz)2\left(2xy-3xz\right)  

d)

4x(y6z)4x\left(y-6z\right)  

123.

Factorise 2x26xy2x^2-6xy  

a)

2x(x3y)2x\left(x-3y\right)  

b)

2x(x6y)2x\left(x-6y\right)  

c)

2x2(16y)2x^2\left(1-6y\right)  

d)

2x2(6y)2x^2\left(6y\right)  

124.

Factorise 5x27x5x^2-7x  

a)

5x75x-7  

b)

5x(x7)5x\left(x-7\right)  

c)

5(x27x)5\left(x^2-7x\right)  

d)

x(5x7)x\left(5x-7\right)  

125.

Factorise 3y27xy3y^2-7xy  

a)

3(y27xy)3\left(y^2-7xy\right)  

b)

3y(y7x)3y\left(y-7x\right)  

c)

y(3y7x)y\left(3y-7x\right)  

d)

y2(3)y(7x)y^2\left(3\right)-y\left(7x\right)  

126.

Factorise 6g23g36g^2-3g^3  

a)

3(2g2g3)3\left(2g^2-g^3\right)  

b)

3g(2gg2)3g\left(2g-g^2\right)  

c)

3g2(2g)3g^2\left(2-g\right)  

d)

g2(63g)g^2\left(6-3g\right)  

127.

Factorise xy2x2yxy^2-x^2y  

a)

x(y2xy)x\left(y^2-xy\right)  

b)

y(xyx2)y\left(xy-x^2\right)  

c)

xy(yx)xy\left(y-x\right)  

d)

xy2(1x)xy^2\left(1-x\right)  

128.

Factorise 6a9a26a-9a^2  

a)

3(2a3a2)3\left(2a-3a^2\right)  

b)

a(69a2)a\left(6-9a^2\right)  

c)

3a(29a)3a\left(2-9a\right)  

d)

3a(23a)3a\left(2-3a\right)  

129.

Factorise pqq2pq-q^2  

a)

p(qq2)p\left(q-q^2\right)  

b)

q(pq)q\left(p-q\right)  

c)

pq(1q)pq\left(1-q\right)  

d)

q2(p1)q^2\left(p-1\right)  

130.

Factorise 6x9x2y6x-9x^2y  

a)

2(3x9x2y)2\left(3x-9x^2y\right)  

b)

3(2x3x2y)3\left(2x-3x^2y\right)  

c)

3x(23xy)3x\left(2-3xy\right)  

d)

2x(33xy)2x\left(3-3xy\right)  

131.

Factorise 4xy2x4xy-2x  

a)

2(2xy0)2\left(2xy-0\right)  

b)

2(2xy1)2\left(2xy-1\right)  

c)

2x(2y0)2x\left(2y-0\right)  

d)

2x(2y1)2x\left(2y-1\right)  

132.

x2 - 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Can not be factorized

133.

25x2y2 - 100

a)

( 5xy - 10) (5xy + 10)

b)

( 5xy + 10) (5xy + 10)

c)

( 5xy - 50) (5xy + 50)

134.
9x- 49y6
a)
( 3x + 7y3) (3x + 7y3
b)
( 3x - 7y3) (3x + 7y3
c)
( 3x - 7y3) (3x - 7y3
d)
Prime
135.
Simplify the product.  Write the answer in standard form.
(x+2)(x-5)
a)
x²-3x-10
b)
2x²-3
c)
x²-10
d)
x²+2x-10
136.
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)
137.

x2 - 400

a)

( x - 200) ( x + 200)

b)

( x + 20) ( x + 20)

c)

Can not be factorized

d)

( x - 20) ( x + 20)

138.

m2+2mx+x2

a)

(m+x)

b)

(m+x)2

139.

9x2-6xy+y2

a)

(3-y)

b)

(3+y)2

c)

(3-y)2

140.

a2+2ab+b2-m2

a)

(a+b+m2)(a+b-m2)

b)

(a2+b2+m2)(a2+b2-m2)

c)

(a+b+m)(a+b-m)

141.

   the factors of 3m2+9m+6\ \ \ the\ factors\ of\ 3m^2+9m+6 are

a)

 (m + 1) (m + 2)

b)

3(m + 1) (m + 2)

c)

 6(m + 1) (m + 2)

d)

9(m + 1) (m + 2)

142.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
143.
Factor:
x+ 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
144.
Factor
x2 + x - 6
a)
(x + 2)(x + 3)
b)
(x + 6)(x -1)
c)
(x + 3)(x - 2)
d)
(x +1)(x - 6)
145.
Factor
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
146.
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)
147.
x- 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
148.
4x- 64y2
a)
Prime
b)
( 2x - 32y) (2 x + 32y) 
c)
( 2x - 8y) (2 x - 8y) 
d)
( 2x - 8y) (2 x + 8y) 
149.
25x2y2 - 100
a)
( 5xy - 10) (5xy + 10) 
b)
( 5xy + 10) (5xy + 10) 
c)
Prime
d)
( 5xy - 50) (5xy + 50) 
150.
What are the solutions of the equation x2+8x+15=0?  (Solve by factoring)
a)
-5,-3
b)
-3,5
c)
-5,3
d)
3,5
151.
x- 400
a)
( x - 200) ( x + 200) 
b)
( x + 20) ( x + 20) 
c)
Prime
d)
( x - 20) ( x + 20) 
152.

Factorize 3x2 + 18x

a)

3 (x + 6)

b)

3x (x + 6)

c)

x (3x + 18)

d)

2x (3x + 9)

153.

Factorize x2 - 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

154.

Factorize (x + 9)2

a)

( x - 9 ) ( x + 9 )

b)

( x + 9 ) ( x + 9 )

c)

( x - 9 ) ( x - 9 )

155.

Simplify the product. (x + 2) (x - 5)

a)

x² - 3x - 10

b)

2x² - 3

c)

x² - 10

d)

x² + 2x - 10

156.

Factorize (x - 2)2

a)

(x - 2) (x + 2)

b)

(x + 2) (x + 2)

c)

(x - 2) (x - 2)