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

Last updated at Aug. 8, 2023 by Teachoo

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Ex 12.3, 5 Factorise the expressions and divide them as directed. (ii) (𝑚^2 – 14m – 32) ÷ (m + 2)We first factorise 𝒎^𝟐−𝟏𝟒𝒎−𝟑𝟐 By middle term splitting, = 𝑚^2 + 2m − 16m − 32 = (𝑚^2+2𝑚) – (16𝑚+32) = m (m + 2) − 16 (m + 2) Taking (m + 2) common, = (m + 2) (m − 16) Splitting the middle term We need to find two numbers whose Sum = –14 Product = −32 So, we write −14m = 2m − 16m Dividing (𝑚^2−14𝑚+32)÷(𝑚+2) = (𝑚^2 −14𝑚 −32)/((𝑚 + 2)) = ((𝒎 + 𝟐) (𝒎 − 𝟏𝟔))/((𝒎 + 𝟐)) = ((𝑚 + 2))/((𝑚 + 2)) × (m − 16) = (𝒎 − 16)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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