Telangana SCERT Solution Class VIII (8) Math Chapter 12 Factorisation Exercise 12.3
(1) Carryout the following divisions:
(i) 48a3 by 6a
(ii) 14x3 by 42x2
(iii) 72a3 b4 c5 by 8ab2 c3
(iv) 11xy2 z3 by 55xyz
(v) -54l4 m3 n2 by 9l2 m2 n2
(2) Divide the given polynomial by the given monomial:
(i) (3x2 – 2x) ÷ x
(ii) (5a3b – 7ab3) ÷ ab
(iii) (25x5 – 15x4) ÷ 5x3
(iv) (4l5 – 6l4 + 8l3) ÷ 2l2
(v) 15 (a3b2c2 – a2b3c2 + a2b2c3) ÷ 3abc
(vi) (3p3 – 9p2q – 6pq2) ÷ (-3p)
(vii) (2/3 a2b2c2 + 4/3 ab2c2) ÷ 1/2 abc
(3) Workout the following divisions:
(i) (49x – 63) ÷ 7
(ii) 12x (8x – 20) ÷ 4 (2x – 5)
(iii) 11a3b3 (7c – 35) ÷ 3a2b2 (c – 5)
(iv) 54lmn (l + m) (m + n) (n + l) ÷ 8lmn (l + m) (n + l)
(v) 36 (x + 4) (x2 + 7x + 10) ÷ 9 (x + 4)
(vi) a (a + 1) (a + 2) (a + 3) ÷ a (a + 3)
(4) Factorize the expressions and divide them as directed:
(i) (x2 + 7x + 12) ÷ (x + 3)
(ii) (x2 – 8x + 12) ÷ (x – 6)
(iii) (p2 + 5p + 4) ÷ (p + 1)
(iv) 15ab (a2 – 7a + 10) ÷ 3b (a – 2)
(v) 15lm (2p2 – 2q2) ÷ 31 (p + q)
(vi) 26z3 (32z2 – 18) ÷ 13z2 (4z – 3)