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

1. The factors of 6x2 + 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 12x2 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 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 â€“ 2ab + b2
(c) (a â€“ b)2 = a2 + 2ab + b22
(d) (a2 â€“ b2) = a2 + 2ab + b2
5. Find the incorrect mathematical statement.
(a) 4(x â€“ 5) = 4x â€“ 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 â€“ 4)
(b) (a + 4)(a + 4)
(c) (a + 4)(4 â€“ a)
(d) (a â€“ 4)(a â€“ 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 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 5x2y â€“ 15xy2 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 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 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 49p2 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 a2 â€“ 2ab + b2 â€“ c2 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 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 â€“ 9x2 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 $\left(x-\frac{1}{x}\right)$ will be:
(a) x2 â€“ 2 â€“ $\frac{1}{x^{2}}$
(b) x2 â€“ 2 + $\frac{1}{x^{2}}$
(c) x2 â€“ 4 â€“ $\frac{1}{x^{2}}$
(d) x2 â€“ 2 + $\frac{1}{x}$

### 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) = 2x2 + x + a, then ‘a’ is â€¦â€¦â€¦â€¦â€¦.. .
3. The product (x + y)(x â€“ y)(x2 + y2) is â€¦â€¦â€¦â€¦â€¦â€¦. .
4. All the factors of 4x2 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. $\frac{2 x-5}{2 x}$ = -5
2. 3(y â€“ 2) = 3y â€“ 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 â€“ 36 using identity
3. Divide (x2 â€“ 16) by (x + 4)
4. Find the greatest common factor of -4a3 b2, 12 a3b3c, 16a5bc
5. Factorise (a + b)2 â€“ (a â€“ b)2
6. Divide (x2 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 x2 â€“ 7x + 12 is
4. Factors of x2 + x â€“ 56 is

### Class 8 Maths Factorisation Long Answer Type Questions

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