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"−6𝑧 − 12 = (𝑧^2+"2z" )−(6𝑧 + 12) Both have z as common factor Both have 6 as common factor = z (z + 2) − 6 (z + 2) Taking (z + 2) common = (z + 2) (z − 6) Splitting the middle term We need to find two numbers whose Sum = −4 Product = −12 So, we write −4z = 2z − 6z

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