12. Factorisation
The chapter covers the concepts of factorization including the identification of factors of natural numbers and algebraic expressions. It explains various methods for factorizing algebraic expressions through common factors, regrouping, and identities. The division of algebraic expressions is also introduced, presenting methods for dividing monomials and polynomials.
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Sections
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What we have learnt
- When we factorise an expression, we write it as a product of factors including numbers and algebraic variables or expressions.
- An irreducible factor cannot be expressed further as a product of factors.
- A systematic approach, such as the common factor method, is essential for accurate factorization.
Key Concepts
- -- Factorization
- Writing an expression as a product of its factors, which may include numbers, algebraic variables, or expressions.
- -- Common Factor Method
- A systematic method of factorization involving identifying and separating common factors from terms.
- -- Regrouping
- Rearranging terms in an expression to facilitate factoring by identifying common factors within groups of terms.
- -- Polynomial Division
- The process of dividing a polynomial by another polynomial or monomial, which may involve cancellation of common factors.
Additional Learning Materials
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