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

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

(a) (2x – 3)(3x – 2)

(b) (2x – 3)(3x + 2)

(c) (2x + 3)(3x – 2)

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

2. **The factors of 12x ^{2} – 7x + 1 are:**

(a) (4x – 1)(3x – 1)

(b) (4x – 3)(3x + 1)

(c) (4x + 1)(3x – 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} – 2ab + b^{2}

(c) (a – b)^{2} = a^{2} + 2ab + b2^{2}

(d) (a^{2} – b^{2}) = a^{2} + 2ab + b^{2}

5. **Find the incorrect mathematical statement.**

(a) 4(x – 5) = 4x – 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 – 4)

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

(c) (a + 4)(4 – a)

(d) (a – 4)(a – 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 – 4y + 6 – 9x is**

(a) (3x – 2)(2y + 3)

(b) (3x – 1)(2y – 3)

(c) (3x + 2)(2y – 3)

(d) None of these

11. **Factors of 5x ^{2}y – 15xy^{2} is**

(a) xy(5x – 15y)

(b) 5xy(x – 3y)

(c) 5xy(x – 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 – 7 + 7xy – xyz is**

(a) (z – 7)( 1 – xy)

(b) (z – 7)(xy – 1)

(c) (7 – z)(1 – 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} – 12y + 9 is**

(a) (2y – 3)(2y – 6)

(b) (2y – 3)(2y – 3)

(c) (4y – 3)(y – 3)

(d) None of these

16. **Factors of 49p ^{2} – 36 is**

(a) (7p – 9)(7p + 4)

(b) (4p + 4)(7p – 9)

(c) (7p – 6)(7p + 6)

(d) None of these

17. **Factors of a ^{2} – 2ab + b^{2} – c^{2} is**

(a) (a – b – c)(a – b + c)

(b) (a + b – c)(a + b + c)

(c) (a – b + c)(a – 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 – 9x ^{2} will be**

(a) (6 + 3x)(6 – 3x)

(b) (3x – 6)(6 – 3x)

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

(d) (12x – 3x)(3 + 3x)

20. **Square of will be:**

(a) x^{2} – 2 –

(b) x^{2} – 2 +

(c) x^{2} – 4 –

(d) x^{2} – 2 +

### Class 8 Maths Factorisation Fill In The Blanks

1. Division is opposite of …………… .

2. If (2x – 5)(x + 3) = 2x^{2} + x + a, then ‘a’ is …………….. .

3. The product (x + y)(x – y)(x^{2} + y^{2}) is ………………. .

4. All the factors of 4x^{2} are ……………… .

5. The value of 105 × 95 is ……………. .

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

1. = -5

2. 3(y – 2) = 3y – 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} – 36 using identity

3. Divide (x^{2} – 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} – (a – b)^{2}

6. Divide (x^{2} – 6x + 9) by (x – 3)

### Class 8 Maths Factorisation Short Answer Type Questions

1. Evaluate (502)^{2} – (498)^{2} using suitable identity.

2. Evaluate (8.6)^{2} – (1.4)^{2} using suitable identity.

3. Factors of x^{2} – 7x + 12 is

4. Factors of x^{2} + x – 56 is

### Class 8 Maths Factorisation Long Answer Type Questions

1. Resolve into factors: 2x^{2} – 3ax – 2a^{2}

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

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