Example 9 Factorise 𝑥^2 + 5x + 6
𝑥^2 + 5x + 6
By middle term splitting
= 𝑥^2+2𝑥+3𝑥+6
Both have x as common factor
Both have 3 as common factor
= x (x + 2) + 3 (x + 2)
Taking (x + 2) common
= (x + 2) (x + 3)
Splitting the middle term
We need to find two numbers such that
Sum = 5
Product = 6
So, we write
5x = 2x + 3x

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Davneet Singh

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.