MP Board Class 8th Maths Solutions Chapter 14 Factorization Ex 14.3

MP Board Class 8th Maths Solutions Chapter 14 Factorization Ex 14.3

MP Board Class 8th Maths Solutions Chapter 14 Factorization Ex 14.3

Question 1.
Carry out the following divisions.
(i) 28x⁴ ÷ 56x
(ii) -36y³ ÷ 9y²
(iii) 66pq²r³ ÷ 11qr²
(iv) 34x³y³z³ ÷ 51 xy²z³
(v) 12a⁸b⁸ ÷ (- 6a⁶b⁴).
Solution:
(i) 28x⁴ ÷ 56x

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) ÷ p³q³
Solution:
(i) We have

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)(5b – 30) ÷ 144(a – 4)(b – 6)
Solution:

Question 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)
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:
(i) We have, y² + 7y + 10
= y² + 5y + 2y + 10
= y(y + 5) + 2(y + 5) = (y + 2) (y + 5)

MP Board Class 8th Maths Solutions