## Grade 8 Maths Factorisation Multiple Choice Questions (MCQs)

1. **The factors of 6x ^{2} + 5x â€“ 6 are:**

(a) (2x â€“ 3)(3x â€“ 2)

(b) (2x â€“ 3)(3x + 2)

(c) (2x + 3)(3x â€“ 2)

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

2.

**The factors of 12x**

^{2}â€“ 7x + 1 are:(a) (4x â€“ 1)(3x â€“ 1)

(b) (4x â€“ 3)(3x + 1)

(c) (4x + 1)(3x â€“ 1)

(d) (4x + 1)(3x + 1)

3.

**On dividing x**

^{3}+ 3x^{2}+ 3x + 1 by x we get remainder:(a) 1

(b) 0

(c) -1

(d) 2

4.

**Find the correct identity:**

(a) (a + b)

^{2}= a

^{2}+ 2ab + b

^{2}

(b) (a + b)

^{2}= a

^{2}â€“ 2ab + b

^{2}

(c) (a â€“ b)

^{2}= a

^{2}+ 2ab + b2

^{2}

(d) (a

^{2}â€“ b

^{2}) = a

^{2}+ 2ab + b

^{2}

5.

**Find the incorrect mathematical statement.**

(a) 4(x â€“ 5) = 4x â€“ 20

(b) 3x + 2x = 5x

^{2}

(c) x(3x + 2) = 3x

^{2}+ 2x

(d) 2x + 3x = 5x

6.

**Factors of a**

^{2}+ 8a + 16 are:(a) (a + 4)(a â€“ 4)

(b) (a + 4)(a + 4)

(c) (a + 4)(4 â€“ a)

(d) (a â€“ 4)(a â€“ 4)

7.

**Factors of 12a**

^{2}b + 15ab^{2}is(a) 3ab(4a + 5b)

(b) 3ab(4a + 15b)

(c) ab( 12a + 15b)

(d) None of these

8.

**Factors of 14pq + 35pqr is**

(a) pq(14 + 35r)

(b) 7pq(2 + 5 r)

(c) 7pq(14 + 5r)

(d) None of these

9.

**Factors of 2xy + 2y + 3x + 3 is**

(a) (x + 1)(2y + 1)

(b) (x + 1)(2y + 3)

(c) (x + 3)(2y + 1)

(d) None of these

10.

**Factors of 6xy â€“ 4y + 6 â€“ 9x is**

(a) (3x â€“ 2)(2y + 3)

(b) (3x â€“ 1)(2y â€“ 3)

(c) (3x + 2)(2y â€“ 3)

(d) None of these

11.

**Factors of 5x**

^{2}y â€“ 15xy^{2}is(a) xy(5x â€“ 15y)

(b) 5xy(x â€“ 3y)

(c) 5xy(x â€“ 5y)

(d) None of these

12.

**Factors of 15pq + 15 + 9q + 25p is**

(a) (5p + 3)(3q + 5)

(b) (5p + 3)(q + 5)

(c) (p + 3)(3q + 5)

(d) None of these

13.

**Factors of z â€“ 7 + 7xy â€“ xyz is**

(a) (z â€“ 7)( 1 â€“ xy)

(b) (z â€“ 7)(xy â€“ 1)

(c) (7 â€“ z)(1 â€“ xy)

(d) None of these

14.

**Factors of x**

^{2}+ 8x + 16 is(a) (x + 8)(x + 2)

(b) (x + 4)(x + 2)

(c) (x + 4)(x + 4)

(d) None of these

15.

**Factors of 4y**

^{2}â€“ 12y + 9 is(a) (2y â€“ 3)(2y â€“ 6)

(b) (2y â€“ 3)(2y â€“ 3)

(c) (4y â€“ 3)(y â€“ 3)

(d) None of these

16.

**Factors of 49p**

^{2}â€“ 36 is(a) (7p â€“ 9)(7p + 4)

(b) (4p + 4)(7p â€“ 9)

(c) (7p â€“ 6)(7p + 6)

(d) None of these

17.

**Factors of a**

^{2}â€“ 2ab + b^{2}â€“ c^{2}is(a) (a â€“ b â€“ c)(a â€“ b + c)

(b) (a + b â€“ c)(a + b + c)

(c) (a â€“ b + c)(a â€“ b + c)

(d) None of these

18.

**Factors of x**

^{2}+ 5x + 6 is(a) (x + 3)(x + 2)

(b) (x + 4)(x + 2)

(c) (x + 6)(x + 1)

(d) None of these

19.

**Factors of 36 â€“ 9x**

^{2}will be(a) (6 + 3x)(6 â€“ 3x)

(b) (3x â€“ 6)(6 â€“ 3x)

(c) (3x + 6)(3x -6)

(d) (12x â€“ 3x)(3 + 3x)

20.

**Square of will be:**

(a) x

^{2}â€“ 2 â€“

(b) x

^{2}â€“ 2 +

(c) x

^{2}â€“ 4 â€“

(d) x

^{2}â€“ 2 +

### Class 8 Maths Factorisation Fill In The Blanks

1. Division is opposite of â€¦â€¦â€¦â€¦â€¦ .

2. If (2x â€“ 5)(x + 3) = 2x^{2} + x + a, then ‘a’ is â€¦â€¦â€¦â€¦â€¦.. .

3. The product (x + y)(x â€“ y)(x^{2} + y^{2}) is â€¦â€¦â€¦â€¦â€¦â€¦. .

4. All the factors of 4x^{2} are â€¦â€¦â€¦â€¦â€¦â€¦ .

5. The value of 105 Ã— 95 is â€¦â€¦â€¦â€¦â€¦. .

### Class 8 Maths Factorisation True(T) Or False(F)

1. = -5

2. 3(y â€“ 2) = 3y â€“ 2

3. 4x + 3y = 7xy

4. (3x)^{2} + 4(3x) + 5 = 3x^{2} + 12x + 5

5. a(5a + 2) = 5a^{2} + 2a

### Class 8 Maths Factorisation Very Short Answer Type Questions

1. Factorise 12a^{2}b + 15ab^{2}

2. Factorise x^{2} â€“ 36 using identity

3. Divide (x^{2} â€“ 16) by (x + 4)

4. Find the greatest common factor of -4a^{3} b^{2}, 12 a^{3}b^{3}c, 16a^{5}bc

5. Factorise (a + b)^{2} â€“ (a â€“ b)^{2}

6. Divide (x^{2} â€“ 6x + 9) by (x â€“ 3)

### Class 8 Maths Factorisation Short Answer Type Questions

1. Evaluate (502)^{2} â€“ (498)^{2} using suitable identity.

2. Evaluate (8.6)^{2} â€“ (1.4)^{2} using suitable identity.

3. Factors of x^{2} â€“ 7x + 12 is

4. Factors of x^{2} + x â€“ 56 is

### Class 8 Maths Factorisation Long Answer Type Questions

1. Resolve into factors: 2x^{2} â€“ 3ax â€“ 2a^{2}

2. Divide: 44(x^{4} â€“ 5x^{3} â€“ 24x^{2}) by 11x(x â€“ 8).

3. Divide: z(5z^{2} â€“ 80) by 5z(z + 4)