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Example 11 - Obtain the factors of z^2 - 4z - 12 - Chapter 14 Class 9


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Example 11 Obtain the factors of 𝑧^2 – 4z – 12. 𝑧^2 – 4z – 12 By middle term splitting = 𝑧^2+"2z"βˆ’6𝑧 βˆ’ 12 = (𝑧^2+"2z" )βˆ’(6𝑧 + 12) Both have z as common factor Both have 6 as common factor = z (z + 2) βˆ’ 6 (z + 2) Taking (z + 2) common = (z + 2) (z βˆ’ 6) Splitting the middle term We need to find two numbers whose Sum = βˆ’4 Product = βˆ’12 So, we write βˆ’4z = 2z βˆ’ 6z

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.