Factorising by Splitting the Middle term

Last updated at April 16, 2024 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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.