Factorising by Splitting the Middle term

Last updated at August 5, 2026 by

Suppose we want to factorise

  x 2 + 7x + 12

 

We factorise it by splitting the middle term

x 2 + 7x + 12

Splitting the middle term - Factorising Polynomial.jpg

= x 2 + 4x + 3x + 12

= x(x + 4) + 3(x + 4)

= (x + 3)  (x + 4)

 

So, x 2 + 7x + 12 = (x + 3)  (x + 4)

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