Last updated at Dec. 16, 2024 by Teachoo
Ex 12.3, 2 (Method 1) Divide the given polynomial by the given monomial. (iv) (๐ฅ^3 + 2๐ฅ^2 + 3๐ฅ) รท 2๐ฅ๐ฅ^3 + 2๐ฅ^2 + 3๐ฅ = (๐ฅ^2 ร ๐ฅ) + (2๐ฅ ร ๐ฅ) + (3 ร ๐ฅ) Taking ๐ฅ common, = ๐ฅ (๐ฅ^2 + 2๐ฅ + 3) Dividing (๐ฅ^3 " + " 2๐ฅ^2 " + " 3๐ฅ)/2๐ฅ = (๐ฅ (๐ฅ^2 + 2๐ฅ + 3))/2๐ฅ = ๐ฅ/๐ฅ ร (๐ฅ^2+ 2๐ฅ + 3)/2 = (๐ฅ^2+ 2๐ฅ + 3)/2 = ๐/๐ (๐^๐ + 2๐ + 3) Ex 12.3, 2 (Method 2) Divide the given polynomial by the given monomial. (iv) (๐ฅ^3 + 2๐ฅ^2 + 3๐ฅ) รท 2๐ฅ (๐ฅ^2+ 2๐ฅ + 3)/2๐ฅ = ๐ฅ^3/2๐ฅ + (2๐ฅ^2)/2๐ฅ + 3๐ฅ/2๐ฅ = (๐/๐ร๐^๐/๐) + (๐/๐ร๐^๐/๐) + (๐/๐ร๐/๐) = (1/2ร๐ฅ^2 ) + (1ร๐ฅ) + (3/2ร1) = 1/2 ๐ฅ^2+ ๐ฅ + 3/2 = (๐ฅ^2+ 2๐ฅ + 3 )/2 = ๐/๐ (๐^๐ + 2๐ + 3)
Ex 12.3
Ex 12.3, 1 (ii) Important
Ex 12.3, 1 (iii)
Ex 12.3, 1 (iv) Important
Ex 12.3, 1 (v)
Ex 12.3, 2 (i)
Ex 12.3, 2 (ii) Important
Ex 12.3, 2 (iii) Important
Ex 12.3, 2 (iv) You are here
Ex 12.3, 2 (v) Important
Ex 12.3, 3 (i)
Ex 12.3, 3 (ii)
Ex 12.3, 3 (iii) Important
Ex 12.3, 3 (iv)
Ex 12.3, 3 (v) Important
Ex 12.3, 4 (i)
Ex 12.3, 4 (ii) Important
Ex 12.3, 4 (iii)
Ex 12.3, 4 (iv)
Ex 12.3, 4 (v) Important
Ex 12.3, 5 (i)
Ex 12.3, 5 (ii) Important
Ex 12.3, 5 (iii)
Ex 12.3, 5 (iv) Important
Ex 12.3, 5 (v)
Ex 12.3, 5 (vi)
Ex 12.3, 5 (vii) Important
About the Author
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo