Free Printable FACTOR BIASA

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:
x²+ 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.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

7.

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

8.

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

9.

The solutions of the quadratic equation
x²+2x-15=0 are

a)

x = 3 or x = 5

b)

x = 5 or x = -3

c)

x = -5 or x = 3

d)

x = -3 or x = -5

10.

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

11.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

12.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

13.

Factor
x² + x - 6

a)

(x + 2)(x + 3)

b)

(x + 6)(x -1)

c)

(x + 3)(x - 2)

d)

(x +1)(x - 6)

14.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

15.

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)

16.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

17.

4x²- 64y²

a)

Prime

b)

( 2x - 32y) (2 x + 32y)

c)

( 2x - 8y) (2 x - 8y)

d)

( 2x - 8y) (2 x + 8y)

18.

25x²y²- 100

a)

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

b)

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

c)

Prime

d)

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

19.

9x²- 49y⁶

a)

( 3x + 7y³) (3x + 7y³)

b)

( 3x - 7y³) (3x + 7y³)

c)

( 3x - 7y³) (3x - 7y³)

d)

Prime

20.

x²+ 81

a)

Prime

b)

( x - 9 ) ( x + 9 )

c)

( x + 9 ) ( x + 9 )

d)

( x - 9 ) ( x - 9 )

21.

Factor p³- 3p² - 16p + 48

a)

p² ( p - 3) (p - 3)

b)

(p² - 16) (p - 3)

c)

(p + 4) (p - 4) (p - 3)

22.

What is the factored form of x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

23.

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

24.

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)

25.

x²- 400

a)

( x - 200) ( x + 200)

b)

( x + 20) ( x + 20)

c)

Prime

d)

( x - 20) ( x + 20)

26.

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

27.

The solutions of the quadratic equation
x²+2x-15=0 are

a)

x = 3 or x = 5

b)

x = 5 or x = -3

c)

x = -5 or x = 3

d)

x = -3 or x = -5

28.

Solve for x. Round to the nearest hundredth if necessary.
3x²= 27

a)

x = 9

b)

x = 3

c)

x = -3, 3

d)

x = x = -9, 9

29.

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

30.

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

31.

What is the factored form of x³ + 2x²+2x+1

a)

(x+1)(x²+x+1)

b)

(x+1)(x² - x +1)

c)

(x-1)(x² - x +1)

d)

(x+1)(x+1)(x+1)

32.

What is the factored form of x² +y²- z² - 2xy?

a)

(x - y - z)(x - y+z)

b)

(x + y - z)(x - y - z)

c)

(x - y + z)(x + y+z)

d)

(x - y - z)(x + y+z)

33.

What is the factored form of x² - y²- z² - 2yz?

a)

(x - y - z)(x - y+z)

b)

(x + y - z)(x - y - z)

c)

(x - y + z)(x + y+z)

d)

(x - y - z)(x + y+z)

34.

What is the factored form of x⁴+x²+1?

a)

(x² +x+1)(x² +x+1)

b)

(x² - x+1)(x² -x+1)

c)

(x² +x+1)(x² - x +1)

d)

(x² +x -1)(x² +x+1)

35.

The factors of

16x^4+36x^2y^2+81y^4

are :

a)

$\left(4x^2+6xy+9y^2\right)\left(4x^2-6xy+9y^2\right)$

b)

$\left(2x-3y\right)^2\ \left(2x+3y\right)^2$

c)

undefined

d)

$\left(4x^2+6xy+9y^2\right)\left(4x^2+6xy+9y^2\right)$

36.

$What\ are\ the\ factors\ of\ \ x^2\ +5x\ +6\ ?$

a)

(x - 2)(x - 3)

b)

(x +1)(x +6)

c)

(x+2)(x+3)

d)

(x -1)(x -6)

37.

$What\ are\ the\ factors\ of\ \ x^2\ -5x\ +6\ ?$

a)

(x - 2)(x - 3)

b)

(x - 1)(x +6)

c)

(x+2)(x-3)

d)

(x +1)(x -6)

38.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

39.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

40.

Factor
x² + x - 6

a)

(x + 2)(x + 3)

b)

(x + 6)(x -1)

c)

(x + 3)(x - 2)

d)

(x +1)(x - 6)

41.

Which are the factors in common of

20ab²-5ab-10a³b

a)

5ab

b)

5a³b²

c)

5a³b

42.

Are there any common factors? What are they?

4x²(2w-3)-5(2w-3)

a)

4x²

b)

2w

c)

(2w-3)

43.

Identify the common factors of

13m²y⁵-39my³-26y²

a)

13my²

b)

13y²

c)

13m²y⁵

44.

Factorise

(a+3)(a+1)-4(a+1)

a)

(a+1)(a+3-4)

b)

(a+1)(a-1)

c)

(a-1)(a-1)

45.

Factorise

k²-2k+1

a)

(k⁴+2)²

b)

(k²+1)²

c)

(k-1)²

46.

Factorise

4 - a²

a)

(a+2)(a-2)

b)

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

c)

(2+a)(2-a)

d)

(a²+2)(a²+2)

47.

FACTORISE

m² + 3m + 2

a)

(m + 2)(m + 3)

b)

(m + 2)(m + 1)

c)

(m + 3)

d)

(m + 4)(m - 3)

48.

FACTORISE:

6x² + 13x + 6

a)

(6x + 6)(x + 1)

b)

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

c)

(x + 5)(4x + 4)

d)

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

49.

FACTORISE

4x²- 25

a)

(4x²-25)(4x²+25)

b)

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

c)

(2x+5)²

50.

FACTORISE

ax + bx + x

a)

x(a + b + 1)

b)

x(a + b)

c)

x(x + b + a)

d)

x(x + b + 1)

51.

FACTORISE

x²-11x+30

a)

(x-6)(x-5)

b)

(x-6)(x+5)

c)

(x-6)(x+5)

d)

IMPOSIBLE

52.

FACTORISE

x²-11x+30

a)

(x-6)(x-5)

b)

(x-6)(x+5)

c)

(x-6)(x+5)

d)

IMPOSIBLE

53.

FactoriSE

3a²b + 3ab²

a)

3a(b + 2b)

b)

3(ab + ab²)

c)

3ab(a + b)

d)

3a²b(1 + b)

54.

Factorize 3x+9

a)

3(x+3)

b)

x(3+3)

c)

9(x-3)

d)

3x(x+9)

55.

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)

56.

(x+1) (x+1) is a factor of

a)

x²+1-2x

b)

x²+2x+1

c)

x²-2x+1

d)

2x+1-x

57.

Factorize 25x²y - 5xy

a)

5xy (x - y)

b)

5xy (5x + 1)

c)

5xy(5x-1)

d)

5xy (5x + 5)

58.

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

59.

Factorise 12x+36

a)

12(3x+1)

b)

x(12+36x)

c)

12(3x)

d)

12(x+3)

60.

On factorizing 14pq + 35pqr, we get:

a)

7pq(2+5r)

b)

q(14p+35pr)

c)

p(14q+35qr)

d)

pq(14+35r)

61.

Factorise 9x-9

a)

9(x)

b)

9(x−9)

c)

9(x−1)

d)

9(x+1)

62.

Factorise 21x-14

a)

14(21x)

b)

14(21x−1)

c)

7(3x-2)

d)

7(3x−14)

63.

The factorisation of 12a²b+15ab² gives:

a)

3ab(4ab+5)

b)

3ab(4a+5b)

c)

3a(4a+5b)

d)

3b(4a + 5b)

64.

The factorisation of 12x+36 is

a)

12(x+3)

b)

12(3x)

c)

12(3x+1)

d)

x(12+36x)

65.

On factorising 14pq + 35pqr, we get:

a)

pq(14+35r)

b)

p(14q+35qr)

c)

q(14p+35pr)

d)

7pq(2+5r)

66.

The factors of 6xy – 4y + 6 – 9x are:

a)

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

b)

(3x – 2) (2y – 3)

c)

(3x – 2) (2y + 3)

d)

(3x –+2) (2y – 3)

67.

The factors of x²+xy+8x+8y are:

a)

(x+y) (x+8)

b)

(2x+y) (x+8)

c)

(x+2y) (x+8)

d)

(x+y) (2x+8)

68.

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

69.

The factors of 49p² – 36 are:

a)

(7p+6)²

b)

(7p-6)²

c)

(7p – 6 ) ( 7p + 6)

d)

None of the above

70.

The factors of m² – 256 are:

a)

(m + 4)²

b)

(m – 4)²

c)

(m – 4) (m+4)

d)

None of the above

71.

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)

72.

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)

73.

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).

74.

Which of the following are the factors of a² + ab +bc + ca

a)

(b + c) (c + a)

b)

(a + b) (a + c)

c)

a(a + b + c)

d)

(a + b) (b + c).

75.

Which of the following is the common factor of: 5xy, 3pqr and 40 xyz?

a)

5

b)

0

c)

xy

d)

1

76.

Which are the factors in common of

20ab²-5ab-10a³b

a)

5ab

b)

5a³b²

c)

5a³b

d)

None of these

77.

Factorise

k²-2k+1

a)

(k⁴+2)²

b)

(k²+1)²

c)

(k-1)²

d)

None of these

78.

Which are the factors in common of

20ab²-5ab-10a³b

a)

5ab

b)

5a³b²

c)

5a³b

79.

Are there any common factors? What are they?

4x²(2w-3)-5(2w-3)

a)

4x²

b)

2w

c)

(2w-3)

80.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

81.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

82.

Factor
x² + x - 6

a)

(x + 2)(x + 3)

b)

(x + 6)(x -1)

c)

(x + 3)(x - 2)

d)

(x +1)(x - 6)

83.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

84.

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)

85.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

86.

4x²- 64y²

a)

Prime

b)

( 2x - 32y) (2 x + 32y)

c)

( 2x - 8y) (2 x - 8y)

d)

( 2x - 8y) (2 x + 8y)

87.

25x²y²- 100

a)

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

b)

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

c)

Prime

d)

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

88.

Factor p³- 3p² - 16p + 48

a)

p² ( p - 3) (p - 3)

b)

(p² - 16) (p - 3)

c)

(p + 4) (p - 4) (p - 3)

89.

What is the factored form of x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

90.

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

91.

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)

92.

Identify the common factors of

13m²y⁵-39my³-26y²

a)

13my²

b)

13y²

c)

13m²y⁵

93.

Factorise

(a+3)(a+1)-4(a+1)

a)

(a+1)(a+3-4)

b)

(a+1)(a-1)

c)

(a-1)(a-1)

94.

Factorise

4 - a²

a)

(a+2)(a-2)

b)

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

c)

(2+a)(2-a)

d)

(a²+2)(a²+2)

95.

FACTORISE

m² + 3m + 2

a)

(m + 2)(m + 3)

b)

(m + 2)(m + 1)

c)

(m + 3)

d)

(m + 4)(m - 3)

96.

FACTORISE

4x²- 25

a)

(4x²-25)(4x²+25)

b)

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

c)

(2x+5)²

97.

FactoriSE

3a²b + 3ab²

a)

3a(b + 2b)

b)

3(ab + ab²)

c)

3ab(a + b)

d)

3a²b(1 + b)

98.

Expand:
(5 - x)(5 + x)

a)

x² + 25

b)

25 - x²

c)

25 - 10x - x²

d)

25 + x²

99.

Expand and simplify (x + 3)(x - 3)

a)

x² + 6x - 9

b)

x² - 6x - 9

c)

x² - 9

d)

x² + 9

100.

Which of the following is equivalent to 8h +7(2 + 4h)?

a)

90h

b)

12h + 14

c)

50h

d)

36h +14

101.

Factor
k²+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

102.

Combine like terms. Simplify.

3n – 6mn + 2n

a)

n-6mn

b)

5n-6mn

c)

3n-6mn

d)

5n+6mn

103.

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

a)

26a + 5c

b)

26a – 13c

c)

31ac

d)

26a – 5c

104.

Factorise fully 18x + 24

a)

3(6x + 8)

b)

2(9x + 12)

c)

6(3x + 4)

d)

6x(3x + 4)

105.

x² + 8x + 16

a)

(x + 4)(x - 4)

b)

(x + 4)²

c)

x(x + 8) + 16

d)

(x - 4)²

106.

Factorise 11x + 121xy

a)

11(x + 11xy)

b)

7x(1 + 11y)

c)

x( 11 + 121y)

d)

11x(1 + 11y)

107.

Expand and simplify (x + 3)(x - 3)

a)

x² - 6x - 9

b)

x² + 6x - 9

c)

x² - 9

d)

x² + 9

108.

Expand - x(2 - 3x)

a)

- 2x + 3x²

b)

- 2x - 4x

c)

- 2 + 3x²

d)

- 2x -3x²

109.

Expand 4(2x + 3)

a)

6x + 7

b)

8x +12

c)

8x + 3

d)

6x +12

110.

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)

111.

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)

112.

2x² + 2x + 3x + 3

a)

(2x +1)(2x + 3)

b)

(2x + 2)(x + 1)

c)

(x + 3)(2x + 1)

d)

(x + 1)(2x + 3)

113.

9x² - 3xy + 6x - 2y

a)

(9x + y)(x - 2)

b)

(9x - y)(x + 2)

c)

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

d)

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

114.

12x² - 15xy - 16x + 20y

a)

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

b)

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

c)

(4x - 5y)(3x - 4)

d)

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

115.

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)

116.

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)

117.

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)

118.

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)

119.

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)

120.

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)

121.

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)

122.

Factor p³- 3p² - 16p + 48

a)

p² ( p - 3) (p - 3)

b)

(p² - 16) (p - 3)

c)

(p + 4) (p - 4) (p - 3)

123.

7r³- 8r²+ 42r - 48

a)

(r²+6)(7r+8)

b)

(r²+6)(7r-8)

c)

(r²+6)(r²+8)

d)

(r²+6)(7r+6)

124.

x³-5x²+5x-25

a)

(x²-5)(x-5)

b)

(x²+5)(x-5)

c)

(x²+5)(x+5)

d)

(x²-1)(x-25)

125.

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)

126.

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)

127.

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)

128.

$FACTORIZE\ \ \ \ \ x^3-x^2-1+x$

a)

$\left(x-1\right)\left(x^2+1\right)$

b)

$\left(x^3-1\right)\left(-x^2+x\right)$

c)

$\left(x^2+1\right)\left(1-x\right)$

d)

$\left(x^2-1\right)\left(x+1\right)$

129.

$FACTORIZE\ \ \ \ 2h\left(5a+2\right)-\left(5a+2\right)$

a)

$\left(5a+2\right)\left(2h\right)$

b)

$\left(5a+2\right)\left(2h+1\right)$

c)

$\left(5a+2\right)\left(2h-1\right)$

d)

$\left(5a-2\right)\left(2h-1\right)$

130.

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

a)

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

b)

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

c)

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

d)

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

131.

FACTORISE

x²-11x+30

a)

(x-6)(x-5)

b)

(x-6)(x+5)

c)

(x-6)(x+5)

d)

IMPOSIBLE

132.

Factorise

k²-2k+1

a)

(k⁴+2)²

b)

(k²+1)²

c)

(k-1)²

133.

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)

134.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

135.

Which are the factors in common of

20ab²-5ab-10a³b

a)

5ab

b)

5a³b²

c)

5a³b

136.

$FACTORIZE\ \ 5x^2+5xy-15x-15y$

a)

$\left(5x-15\right)\left(x+y\right)$

b)

$\left(5x+15\right)\left(x_{\ }-y\right)$

c)

$5\left(x+3\right)\left(x-y\right)$

d)

$5\left(x-3\right)\left(x+y\right)$

137.

$factorize.\ 2\pi r^2+2\pi rh$

a)

$2\pi r^2\left(1+h\right)$

b)

$\ 2\left(\pi r^2+\pi rh\right)$

c)

$2r\left(\pi r+\pi h\right)$

d)

$2\pi r\left(r+h\right)$

138.

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

a)

$-3x\left(x+3\right)$

b)

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

c)

$3x\left(-x-3\right)$

d)

$-3\left(x^2\ +3x\right)$

139.

6t² - 4t - 3t + 2

a)

(6t - 1)(t - 2)

b)

(2t - 2)(3t - 1)

c)

(3t - 2)(2t - 1)

d)

(3t - 2)( 2t + 1)

140.

Factor: x² - 4x + 4

a)

(x + 2)²

b)

(x - 2)²

c)

(x + 4)²

d)

(x - 4)²

141.

Factor: x² + 24x + 144

a)

(x + 12)²

b)

(x + 9)²

c)

(x + 15)²

d)

(x + 13)²

142.

What is the factored form of x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

143.

FactoriSE

3a²b + 3ab²

a)

3a(b + 2b)

b)

3(ab + ab²)

c)

3ab(a + b)

d)

3a²b(1 + b)

144.

FACTORISE

m² + 3m + 2

a)

(m + 2)(m + 3)

b)

(m + 2)(m + 1)

c)

(m + 3)

d)

(m + 4)(m - 3)

145.

$\left(a+2b\right)^2-\left(a^2-b^2\right)$

a)

$3b^2$

b)

$5b^2+4ab$

c)

$5b^2+2ab$

d)

$a^2+4b^2$

146.

Simplify $\left(x-2y\right)-4\left(3x-y\right)$

a)

$-11x-6y$

b)

$-11x-3y$

c)

$-11x-y$

d)

$-11x+2y$

147.

$\frac{3}{p}+\frac{4}{1-p}$

a)

$\frac{3+4p}{1-p}$

b)

$\frac{3+p}{1-p}$

c)

$\frac{3+p}{p\left(1-p\right)}$

d)

$3+4p^2$

148.

$\left(4m-5n\right)\left(5m+4n\right)$

a)

$20m^2+9mn-20n^2$

b)

$20m^2-9mn-20n^2$

c)

$20m^2-41mn-20n^2$

d)

$20m^2-41mn+20n^2$

149.

$p^2+\left(3p+q\right)\left(3p-q\right)$

a)

$10p^2-q^2$

b)

$10p^2+q^2$

c)

$9p^2-q^2$

d)

$9p^2+6pq-q^2$

150.

Express $\frac{3s^2-5}{s}-\frac{2s+9}{7}$ as a single fraction in its simplest form

a)

$\frac{19s^2-9s-35}{7s}$

b)

$\frac{19s^2-9s-35}{s}$

c)

$\frac{3s^2-2s-14}{s}$

d)

$\frac{3s^2-2s+4}{s}$

151.

Express $\frac{p+2q}{2pq}-\frac{p+1}{p}$ as a single fraction in its simplest form

a)

$\frac{1-2q}{2q}$

b)

$\frac{p-2pq}{2pq}$

c)

$\frac{p-2pq+4q}{2pq}$

d)

$\frac{p-2pq-4q}{2pq}$

152.

$\left(3y-2\right)\left(2y+3\right)$

a)

$6y^2-5y-6$

b)

$6y^2+5y-6$

c)

$6y^2+13y-6$

d)

$6y^2-13y-6$

FACTOR BIASA

Total questions: 152

Worksheet time: 3hrs 32mins

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