Ex 12.3, 5 (ii) - Chapter 12 Class 8 Factorisation

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Ex 12.3, 5 (ii) - Factorise and divide (m^2 - 14m - 32) ÷ (m + 2) - Ex 12.3

part 2 - Ex 12.3, 5 (ii) - Ex 12.3 - Serial order wise - Chapter 12 Class 8 Factorisation

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Ex 12.3, 5 Factorise the expressions and divide them as directed. (ii) (๐‘š^2 โ€“ 14m โ€“ 32) รท (m + 2)We first factorise ๐’Ž^๐Ÿโˆ’๐Ÿ๐Ÿ’๐’Žโˆ’๐Ÿ‘๐Ÿ 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’Ž + ๐Ÿ) (๐’Ž โˆ’ ๐Ÿ๐Ÿ”))/((๐’Ž + ๐Ÿ)) = ((๐‘š + 2))/((๐‘š + 2)) ร— (m โˆ’ 16) = (๐’Ž โˆ’ 16)

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