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Factorising by Splitting the Middle term

Last updated at Oct. 10, 2019 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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.