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  1. Chapter 14 Class 8 Factorisation
  2. Serial order wise

Transcript

Ex 14.3, 5 Factorise the expressions and divide them as directed. (ii) (๐‘š^2 โ€“ 14m โ€“ 32) รท (m + 2) We first factorise ๐‘š^2โˆ’14๐‘šโˆ’32 By middle term splitting, = ๐‘š^2 + 2m โˆ’ 16m โˆ’ 32 = (๐‘š^2+2๐‘š) โ€“ (16๐‘š+32) = m (m + 2) โˆ’ 16 (m + 2) Taking (m + 2) common, = (m + 2) (m โˆ’ 16) Splitting the middle term We need to find two numbers whose Sum = โ€“14 Product = โˆ’32 So, we write โˆ’14m = 2m โˆ’ 16m Dividing (๐‘š^2โˆ’14๐‘š+32)รท(๐‘š+2) = (๐‘š^2 โˆ’14๐‘š โˆ’32)/((๐‘š + 2)) = ((๐‘š + 2) (๐‘š โˆ’ 16))/((๐‘š + 2)) = ((๐‘š + 2))/((๐‘š + 2)) ร— (m โˆ’ 16) = (๐’Ž โˆ’ 16)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.