Example 10 - Chapter 12 Class 8 Factorisation

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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