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

1. The factors of 6x2 + 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 12x2 – 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 x3 + 3x2 + 3x + 1 by x we get remainder:
(a) 1
(b) 0
(c) -1
(d) 2

4. Find the correct identity:
(a) (a + b)2 = a2 + 2ab + b2
(b) (a + b)2 = a2 – 2ab + b2
(c) (a – b)2 = a2 + 2ab + b22
(d) (a2 – b2) = a2 + 2ab + b2

5. Find the incorrect mathematical statement.
(a) 4(x – 5) = 4x – 20
(b) 3x + 2x = 5x2
(c) x(3x + 2) = 3x2 + 2x
(d) 2x + 3x = 5x

6. Factors of a2 + 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 12a2b + 15ab2 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 5x2y – 15xy2 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 x2 + 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 4y2 – 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 49p2 – 36 is
(a) (7p – 9)(7p + 4)
(b) (4p + 4)(7p – 9)
(c) (7p – 6)(7p + 6)
(d) None of these

17. Factors of a2 – 2ab + b2 – c2 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 x2 + 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 – 9x2 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 $\left(x-\frac{1}{x}\right)$ will be:
(a) x2 – 2 – $\frac{1}{x^{2}}$
(b) x2 – 2 + $\frac{1}{x^{2}}$
(c) x2 – 4 – $\frac{1}{x^{2}}$
(d) x2 – 2 + $\frac{1}{x}$

### Class 8 Maths Factorisation Fill In The Blanks

1. Division is opposite of …………… .
2. If (2x – 5)(x + 3) = 2x2 + x + a, then ‘a’ is …………….. .
3. The product (x + y)(x – y)(x2 + y2) is ………………. .
4. All the factors of 4x2 are ……………… .
5. The value of 105 × 95 is ……………. .

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

1. $\frac{2 x-5}{2 x}$ = -5
2. 3(y – 2) = 3y – 2
3. 4x + 3y = 7xy
4. (3x)2 + 4(3x) + 5 = 3x2 + 12x + 5
5. a(5a + 2) = 5a2 + 2a

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

1. Factorise 12a2b + 15ab2
2. Factorise x2 – 36 using identity
3. Divide (x2 – 16) by (x + 4)
4. Find the greatest common factor of -4a3 b2, 12 a3b3c, 16a5bc
5. Factorise (a + b)2 – (a – b)2
6. Divide (x2 – 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 x2 – 7x + 12 is
4. Factors of x2 + x – 56 is

### Class 8 Maths Factorisation Long Answer Type Questions

1. Resolve into factors: 2x2 – 3ax – 2a2
2. Divide: 44(x4 – 5x3 – 24x2) by 11x(x – 8).
3. Divide: z(5z2 – 80) by 5z(z + 4)