Factorisation Worksheets for Class 8 with answers in PDF format for free download

CBSE Worksheets for Factorisation Class 8 Maths – PDF

January 23, 2023

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

Answers:

  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)

Answers :

(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.

Answer : 5x2+3x−2.

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?

Answer :

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
    Answer: 3(2x + 3y)
  2. Factorize: 5a^2 – 10ab
    Answer: 5a(a – 2b)
  3. Factorize: 12xy + 18xz
    Answer: 6x(2y + 3z)
  4. Factorize: 9p^2 – 12pq
    Answer: 3p(3p – 4q)
  5. Factorize: 16x^2 – 4y^2
    Answer: 4(4x + 2y)(4x – 2y)
  6. Factorize: 20x – 15y
    Answer: 5(4x – 3y)
  7. Factorize: 25a^2 – 20ab
    Answer: 5a(5a – 4b)
  8. Factorize: 14xy – 21xz
    Answer: 7x(2y – 3z)
  9. Factorize: 36p^2 – 48pq
    Answer: 12p(3p – 4q)
  10. Factorize: 9x^2 – 4y^2
    Answer: (3x + 2y)(3x – 2y)
  11. Factorize: 18xy – 24xz
    Answer: 6x(3y – 4z)
  12. Factorize: 15a^2 – 9ab
    Answer: 3a(5a – 3b)
  13. Factorize: 28xy^2 – 35x^2y
    Answer: 7xy(4y – 5x)
  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
    Answer: (2x – 5)^2
  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)
Fatorisation Worksheets for CBSE Class 8 in PDF