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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
References
NCERT Study MaterialClass Notes
Memorization
What we have learnt
- When we factorise an expres...
- An irreducible factor canno...
- A systematic approach, such...
Final Test
Revision Tests
Chapter FAQs
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
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Term: Factorization
Definition: Writing an expression as a product of its factors, which may include numbers, algebraic variables, or expressions.
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Term: Common Factor Method
Definition: A systematic method of factorization involving identifying and separating common factors from terms.
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Term: Regrouping
Definition: Rearranging terms in an expression to facilitate factoring by identifying common factors within groups of terms.
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Term: Polynomial Division
Definition: The process of dividing a polynomial by another polynomial or monomial, which may involve cancellation of common factors.