📘 Exercise 4.3
Learn and practice Class 9 Mathematics Exercise 4.3 on Factorization with step-by-step solutions. This page includes free downloadable notes and solved examples aligned with the PECTAA 2025 syllabus.
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Chapter 1
Real Numbers
Chapter 2
Logarithms
Chapter 3
Sets and Functions
Chapter 4
Factorization and Algebraic Manipulation
Chapter 5
Linear Equations and Inequalities
Chapter 6
Trigonometry
Chapter 7
Coordinate Geometry
Chapter 8
Logic
Chapter 9
Similar Figures
Chapter 10
Graphs of Functions
Chapter 11
Loci and Construction
Chapter 12
Information Handling
Chapter 13
Probability
Exercise 4.3 - Factorization (HCF and LCM)
This exercise focuses on finding HCF and LCM of algebraic expressions using factorization and division methods, and solving problems involving the relationship between HCF and LCM.
Exercise 4.3 provides practice problems that help students master various methods for finding Highest Common Factors (HCF) and Least Common Multiples (LCM) of algebraic expressions, including both factorization and division methods.
The exercise covers factorization method for HCF and LCM, division method for finding HCF, and application of the relationship between HCF and LCM to find unknown polynomials.
Key Topics Covered
- Finding HCF using factorization method
- Finding HCF using division method
- Finding LCM using prime factorization method
- Relationship between HCF and LCM of polynomials
- Finding unknown polynomials using HCF and LCM relationship
- Product of polynomials using HCF and LCM
Important Note:
Remember the fundamental relationship: For any two polynomials p(x) and q(x), p(x) × q(x) = HCF × LCM. This relationship is crucial for solving problems where one polynomial is unknown.
Created by Hira Science Academy | Aligned with PECTAA 2025 Syllabus