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![[Class 9 Maths] Let us begin with x2 + 7x + 12 = x2 + (a + b)x + ab - Factorisation by Splitting the Middle term](https://cdn.teachoo.com/368c7777-9d9f-4de9-9c71-02dfd9dc77d0/slide125.jpg)
Example 10 - Chapter 4 Class 9 - Exploring Algebraic Identities (Ganita Manjari I)
Last updated at May 15, 2026 by Teachoo
Factorisation by Splitting the Middle term
Class 9
Chapter 4 Class 9 - Exploring Algebraic Identities (Ganita Manjari I)
- Consecutive Square Numbers
- Visualising Algebraic Identities
- Exercise Set 4.1
- Factorisation of Algebraic Expressions Using Identities
- Exercise Set 4.2
- More Identities
- Exercise Set 4.3
- Rewriting a2 - b2 Identity
- Factorisation Using Algebra Tiles
-
Factorisation by Splitting the Middle term
- Exercise Set 4.4
- Finding New Algebraic Identities
- Simplifying Rational Expressions
- Exercise Set 4.5
- Word Problems
- End-of-Chapter Exercises
Transcript
Example 10 Factorise 𝑥^2+7𝑥+12 x2 + 7x + 12 = x2 + 4x + 3x + 12 = x(x + 4) + 3(x + 4) = (x + 3) (x + 4) Splitting the middle term method We need to find two numbers whose Sum = 7 Product = 1 × 12 = 12 Since sum and product both are positive, both numbers are positive
