Example 10 - Find the factors of y^2 -7y +12 - Chapter 14 Class 9

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Example 10 Find the factors of 𝑦^2 – 7y + 12. 𝑦^2 – 7y + 12 By middle term splitting = 𝑦^2 − 3𝑦 − 4𝑦+12 = (𝑦^2 − 3𝑦) −(4𝑦−12) Both have y as common factor Both have 4 as common factor = y (y − 3) − 4 (y − 3) Taking (y − 3) common = (y − 3) (y − 4) Splitting the middle term We need to find two numbers whose Sum = −7 Product = 12 So, we write −7y = −3y − 4y

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo