Ex 12.3, 2 (i) - Chapter 12 Class 8 Factorisation

Last updated at April 16, 2024 by

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Ex 12.3, 2 (Method 1) Separating each term Divide the given polynomial by the given monomial. (i) (5๐‘ฅ^2 โ€“ 6x) รท 3x ใ€–5๐‘ฅใ€—^2โˆ’6๐‘ฅ Taking x common, = x (5x โˆ’ 6) Dividing (5๐‘ฅ^2 โˆ’ 6๐‘ฅ)/3๐‘ฅ = (๐‘ฅ (5๐‘ฅ โˆ’ 6))/3๐‘ฅ = ๐‘ฅ/๐‘ฅ ร— (5๐‘ฅ โˆ’ 6)/3 = (๐Ÿ“๐’™ โˆ’ ๐Ÿ”)/๐Ÿ‘ Ex 12.3, 2 (Method 2) Cancelling terms Divide the given polynomial by the given monomial. (i) (5๐‘ฅ^2 โ€“ 6x) รท 3x(5๐‘ฅ^2 โˆ’ 6๐‘ฅ)/3๐‘ฅ = (๐Ÿ“๐’™^๐Ÿ)/๐Ÿ‘๐’™ โˆ’ ๐Ÿ”๐’™/๐Ÿ‘๐’™ = (5/3ร— ๐‘ฅ^2/๐‘ฅ) โˆ’ (6/3ร—๐‘ฅ/๐‘ฅ) = (5/3 " ร— " ๐‘ฅ)โ€“ 2 = 5/3 ๐‘ฅ โ€“ 2 = (5๐‘ฅ โˆ’ 2 ร— 3)/3 = (๐Ÿ“๐’™ โˆ’ ๐Ÿ”)/๐Ÿ‘

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