Example 10 - Chapter 12 Class 8 Factorisation

Last updated at August 13, 2026 by

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

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Example 10 Find the factors of ๐‘ฆ^2 โ€“ 7y + 12. ๐‘ฆ^2 โ€“ 7y + 12 By middle term splitting = ๐‘ฆ^2 โˆ’ 3๐‘ฆ โˆ’ 4๐‘ฆ+12 = (๐‘ฆ^2 โˆ’ 3๐‘ฆ) โˆ’(4๐‘ฆโˆ’12) Both have y as common factor Both have 4 as common factor = y (y โˆ’ 3) โˆ’ 4 (y โˆ’ 3) Taking (y โˆ’ 3) common = (y โˆ’ 3) (y โˆ’ 4) Splitting the middle term We need to find two numbers whose Sum = โˆ’7 Product = 12 So, we write โˆ’7y = โˆ’3y โˆ’ 4y

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