Class 8 - Mathematics
Factorisation - Exercise 14.3
Top Block 1
Question :1. Carry out the following divisions:
(i) 28𝓍4 ÷ 56𝓍
(ii) −36y3 ÷ 9y2
(iii) 66pq2r3 ÷ 11qr2
(iv) 34𝓍3y3z3 ÷ 51𝓍y2z3
(v) 12a8b8 ÷ (−6a6b4)
Answer :
Question :2. Divide the given polynomial by the given monomial:
(i) (5𝓍2 − 6𝓍) ÷ 3𝓍
(ii) (3y8 − 4y6 + 5y4) ÷ y4
(iii) 8(𝓍3y2z2 + 𝓍2y3z2 + 𝓍2y2z3) ÷ 2𝓍
(iv) (𝓍3 + 2𝓍2 + 3𝓍) ÷ 2𝓍
(v) (p3q6 − p6q3 ÷ p3q3
Answer :
Mddle block 1
Question :3. Work out the following divisions:
(i) (10𝓍 − 25) ÷ 5
(ii) (10𝓍 − 25) ÷ (2𝓍 − 5)
(iii) 10y(6y + 21) ÷ 5(27 + 7)
(iv) 9𝓍2y2(3z − 24) ÷ 27𝓍y(z − 8)
(v) 96abc(3a − 12)(5b − 30) ÷ 144(a − 6)(b − 6)
Answer :
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)
Answer :
Question :5. Factorize 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(9&xscr2 − 16y2) ÷4𝓍y(3𝓍 + 4y)
(vii) 39y3(50y2 − 98) ÷ 26y2(5y + 7)
Answer :