# CBSE Worksheets for Factorisation Class 8 Maths – PDF

Download free pdf of Factorisation Worksheets for Class 8 with answers. Students can easily get all the Class 8 Maths Worksheets and Exercises in Free Printable ( PDF Format) as per the latest syllabus and examination pattern in CBSE and NCERT pattern. Below you will find all the Factorisation related sums that are asked in 8th Grade Mathematics Exams Across Indian Schools.

## Factorisation Worksheets for Class 8 in PDF Format

### Class 8 Factorisation Worksheets with answers

Q.1 Factorise the following expressions
1. 9x2 + 12xy
2. 18x2y – 24xyz
3. 27a3b3 – 45a4b2
4. 2a(x+y) – 3b(x+y)
5. 2x(p2 + q2) + 4y(p2 + q2)
6. x(a–5) + y(5–a)
7. 4(a+b) – 6(a+b)2
8. 8(3a – 2b)2 – 10(3a – 2b)
9. x(x+y)3 – 3x2y(x+y)
10. x3 +2x2 +5x+10

1. 3x(3x+4y)
2. 6xy (3x−4z)
3. 9a2b2(3b –5b)
4. (x + y) ( 2a – 3b)
5. 2(p2 + q2) (x+2y)
6. −(x−y) (a−5)
7. −2(a+b) (3a−2b+2)
8. 2(3a−2b) (4(3a−2b)−5)
9. x2(x+y) (x+y−3y)
10. (x+2) (x2+5)

Q.2 Factorise the expressions and divide them as directed.
(i) (y2 +7y+10) ÷(y+5)
(ii) (m2 –14m–32)÷(m+2)
(iii) (5p2 – 25p + 20) ÷(p – 1)
(iv) 4yz (z2 + 6z – 16) ÷2y(z + 8)
(v) 12xy (9x2 – 16y2) ÷4xy (3x + 4y)
(vi) 39y3(50y2 – 98) ÷26y2(5y + 7)

(i) y+2
(ii)m−16
(iii) 5(p−5)
(iv) 2z−4
(v) 3x−4y
(vi) 3(5y−7)

Q.3 Divide the polynomial 10x4 + 17x3 – 62x2 +30x – 3 by 2x2 + 7x – 1.

Q.4 Using division show that 3x2 + 5 is factor of 6x5 + 15x4 + 16x3 + 4x2 + 10x – 35 .

Q.5 What must be subtracted from 8x4 + 14x3 – 2x2 + 7x – 8 so that the resulting polynomial is exactly divisible by 4x2 + 3x – 2?

Q.6 Factors of ax2y + bxy2 + cxyz is
(a) xy (ax + by + cz)
(b) xyz (ax + by + c)

Answer : (a) xy (ax + by + cz)

Q.7 Factors of x2 + xy + 8x + 8y is
(a) (x + y) (y + 8)
(b) (x + y) (x + 8)

Answer : (b) (x + 8)(x + y)

Q.8 Factors of 15xy – 6x + 5y –2 is
(a) (5y–2)(3x+2)
(b) (5y–2)(3x+1)

Answer : (b) (5y – 2)(3x + 1)

Q.9 Factorisation Practice

1. Factorize: 6x + 9y
2. Factorize: 5a^2 – 10ab
3. Factorize: 12xy + 18xz
4. Factorize: 9p^2 – 12pq
5. Factorize: 16x^2 – 4y^2
Answer: 4(4x + 2y)(4x – 2y)
6. Factorize: 20x – 15y
7. Factorize: 25a^2 – 20ab
8. Factorize: 14xy – 21xz
9. Factorize: 36p^2 – 48pq
10. Factorize: 9x^2 – 4y^2
Answer: (3x + 2y)(3x – 2y)
11. Factorize: 18xy – 24xz
12. Factorize: 15a^2 – 9ab
13. Factorize: 28xy^2 – 35x^2y
14. Factorize: 25p^2 – 20pq + 4q^2
Answer: (5p – 2q)(5p – 2q)
15. Factorize: 49x^2 – 56xy + 16y^2
Answer: (7x – 4y)(7x – 4y)

Q 10 Factorise the given quadratic expressions.

1. x^2 + 5x + 6
Answer: (x + 2)(x + 3)
2. 2x^2 – 7x + 3
Answer: (2x – 1)(x – 3)
3. 3x^2 + 14x + 8
Answer: (3x + 2)(x + 4)
4. 4x^2 – 20x + 25
5. 5x^2 – 12x + 7
Answer: (5x – 7)(x – 1)

Q 11 Factorize the given expressions by grouping.

1. 4x^3 + 2x^2 + 6x + 3
Answer: 2x^2(2x + 1) + 3(2x + 1) = (2x + 1)(2x^2 + 3)
2. 3xy + 9x + 2y + 6
Answer: 3x(y + 3) + 2(y + 3) = (y + 3)(3x + 2)
3. 2a^2b – 6ab + 4a – 12
Answer: 2ab(a – 3) + 4(a – 3) = (a – 3)(2ab + 4)
4. 5xy + 25x – 10y – 50
Answer: 5x(y + 5) – 10(y + 5) = (y + 5)(5x – 10)
5. 6m^2n + 2mn – 9m – 3
Answer: 2mn(3m + 1) – 3(3m + 1) = (3m + 1)(2mn – 3)