NCERT Solutions For Class 8 Chapter 14,Factorisation, Exercise 14.3

Table of Contents

Class 8, Maths, Chapter 14, Exercise 14.3 Solutions

Q.1. Carry out the following divisions.

(i) 28x⁴ ÷ 56x

(ii) –36y³ ÷ 9y²

(iii) 66pq²r³ ÷ 11qr²

(iv) 34x³y³z³÷ 51xy²z³

(v) 12a⁸b⁸÷ (– 6a⁶b⁴)

Q.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) ÷ p³q³

Q.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) (5b – 30) ÷ 144(a – 4) (b – 6)

Q.4. Divide as directed.

(i) 5(2x + 1) (3x + 5) ÷ (2x + 1)

(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)

Q.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)