FACTORISATION 15 EXERCISE 12.3 1. Carry out the following divisions. (i) 28x ÷ 56x (iv) 34x³³351xy2z3 (ii) -36y39y² (iii) 66pqr311qr² (v) 12a8b8(-6a6b4) 2. Divide the given polynomial by the given monomial. (i) (5.x²-6x) ÷ 3x (ii) (3y8-4y6+5y+)÷y+ (iii) 8(x³y²z² + x²y³z² + x²y²z³) ÷ 4x2 y2z² (iv) (x³ +2x²+3x) ÷ 2x (v) (p³q-p'q³)÷p³q³ 3. Work out the following divisions. (i) (10x-25) ÷ 5 (iii) 10y(6y+21) ÷ 5(2y+7) (ii) (10x-25) ÷ (2x-5) (iv) 9x2y²(3z-24) ÷ 27xy(z - 8) (v) 96abc(3a-12) (5b-30)÷ 144(a-4) (b-6) 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) 5. Factorise the expressions and divide them as directed. (i) (y²+ 7y+10) ÷ (y + 5) (ii) (m²-14m-32) ÷ (m + 2)