Grade 8 Factorisation Worksheets -CoolGyan

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 $left(x-frac{1}{x} ight)$ 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)

Grade 8 Factorisation Worksheets