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![[Class 9] Let us try to factor x2 + 11x + 30 in a similar manner - Factorisation by Splitting the Middle term](https://cdn.teachoo.com/c2988e4a-cba4-4cc2-8667-c3e4d9dc3cc2/slide126.jpg)
Example 11 - 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 11 Let us try to factor 𝑥^2+11𝑥+30 in a similar manner. x2 + 11x + 30 = x2 + 5x + 6x + 30 = x(x + 5) + 6(x + 5) = (x + 6) (x + 5) Splitting the middle term method We need to find two numbers whose Sum = 11 Product = 1 × 30 = 30 Since sum and product both are positive, both numbers are positive
