# Class 8 Maths NCERT Solutions for Chapter – 14 Factorisation Ex – 14.3

## Factorisation

Question 1.
Carry out the following divisions.
(i) 28x4 ÷ 56x
(ii) -36y3 ÷ 9y2
(iii) 66pq2r3 ÷ 11qr2
(iv) 34x3y3z3 ÷ 51xy2z3
(v) 12a3b8 ÷ (-6a6b4

Solution:

Question 2.
Divide the given polynomial by the given monomial,
(i)
(5x2 – 6x) ÷ 3x
(ii) (3y8 – 4y6 + 5y4) ÷ y4
(iii) 8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2
(iv) (x3 + 2x2 + 3x) ÷ 2x
(v) (p3q6 – p6q3 – p6q3) ÷ p3q3

Solution:

Question 3.
Work out the following divisions.
(i)
(10x – 25) ÷ 5
(ii) (10x – 25) ÷ (2x – 5)
(iii) 10y (6y + 21) ÷ 5 (2y + 7)
(iv) 9x2y2 (3z – 24) ÷ 27xy (z – 8)
(v) 96abc (3a – 12) (56 – 30) ÷ 144 (a – 4) (b – 6)

Solution:

Question 4.
Divide as directed.
(i)
5(2x + 1)(3x + 5) – (2x + l)
(ii) 26xy (x + 5) (y – 4) ÷ 13x (y – 4)
(iii) 52pqr (p + q) (q + r) (r + p) ÷ 104pq (q + r) (r + p)
(iv) 20 (y + 4) (y2 + 5y + 3) ÷ 5 (y + 4)
(v) x (x + 1) (x + 2) (x + 3) ÷ x (x + 1)

Solution:

Question 5.
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) 5pq (p2 – q2) ÷ 2p (p + q)
(vi) 12xy (9x2 – 16y2) + 4xy (3x + 4y)
(vii) 39y3 (50y2 – 98) ÷ 26y2 (5y + 7)

Solution: