Exercise 4.1 Class 9 Math Complete Solution | Ex 4.1 New Book Chapter 4 Factorization & Algebraic

In this video, we solve the complete Exercise 4.1 from the New 9th Class Math Book Chapter 4 Factorization and Algebraic Manipulation. This exercise is the foundation for algebraic manipulation, and we cover every question step-by-step for students following the latest curriculum at NAR COLLEGE - MATHS. Key Topics Covered: Factorization by Common Factors: Identifying and extracting terms from expressions (Q1). Pictorial Representation: Representing factorization using diagrams and rectangles (Q2). Mid-Term Breaking (Middle Term Splitting): Finding factors that satisfy sum and product conditions for quadratic expressions (Q3 & Q4). Coefficient Handling: Learning how to factorize when the x^2 coefficient is greater than 1 (Q4). 00:00 - Introduction to 9th Class Math Ex 4.1 (New Book) 00:25 - Question 1: Factorize by Identifying Common Factors (All 6 Parts) 01:13 - Q1 Part (i) Solution: 6x + 12 02:29 - Q1 Part (ii) Solution: 15y^2 + 20y 04:18 - Q1 Part (iii) Solution: -12x^2 - 3x 06:16 - Q1 Part (iv) Solution: 4a^2b + 8ab^2 07:38 - Q1 Part (v) Solution: xy - 3x^2 + 2x 09:20 - Q1 Part (vi) Solution: 3a^2b - 9ab^2 + 15ab 12:04 - Question 2: Factorize & Represent Pictorially (All 4 Parts) 12:43 - Q2 Part (i): 5x + 15 (Diagrammatic Representation) 14:10 - Q2 Part (ii) to (iv): Mid-Term Breaking & Box Diagrams 20:49 - Question 3: Factorization of Polynomials (8 Parts) 21:21 - Q3 Part (i) to (iv) Solutions 30:27 - Q3 Part (v) to (viii) Solutions 38:23 - Question 4: Factorizing with x^2 Coefficients (Advanced) 38:54 - Q4 Part (i): 2x^2 + 7x + 3 42:50 - Q4 Part (ii): 2x^2 + 11x + 15 44:50 - Q4 Part (iii): 4x^2 + 13x + 3 46:59 - Q4 Part (iv): 3x^2 + 5x + 2 49:01 - Q4 Part (v): 3y^2 - 11y + 6 51:31 - Q4 Part (vi): 2y^2 - 5y + 2 53:07 - Q4 Part (vii): 4z^2 - 11z + 6 55:19 - Q4 Part (viii): 6 + 7x - 3x^2 (Rearrangement & Solution) 58:15 - Conclusion & Exam Tips Related searches - Class 9th Math New book 2025 9th Class Math New Book Chapter 4 Exercise 4.1 Class 9 New Book Math Exercise 4.1 Mathematics 9th Class Exercise 4.1 New book 9 class math Exercise 4.1 Mathematics 9th New book Exercise 4.1 Book of 9th class Math Exercise 4.1 Exercise 4.1 of class 9 math New Book Class 9th Mathematics New Book 2025 Class 9 new maths Exercise 4.1 Mathematics class 9th Math Mushahid Ali Zafar Sir Shahzad Sair Adnan Manzoor knowledge Zone Sets and Functions Class 9th Math Exercise 4.1 Question 1 to 4 Mathematics 9 class Exercise 4.1 Question 1,2,3,4 #9thClassMath #MathNewBook #Exercise4.1 #Factorization #AlgebraicManipulation #MathSolutions #Class9Maths #mushahidalizafar #sirshahzadsair #adnanmanzoor #knowledgezone