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Welcome to today’s lesson on Exercise 2.3 — Polynomials from the Class 7 Punjab Board Mathematics book. In this video we solve every question from Exercise 2.3 step-by-step with clear explanations, methods (horizontal/vertical), and tips to score full marks in exams. What we cover in this video Which algebraic expressions are polynomials (with reasoning). Finding degrees of polynomials. Addition and subtraction of polynomials (examples & methods). Problems involving subtraction of one polynomial from another. Word-problem style polynomial questions and how to approach them. Product of polynomials: monomial × monomial examples and explanation. Who is this for Class 7 students (Punjab Board) preparing for school or board exams. Teachers and tutors looking for concise worked examples. Students wanting quick revision videos and printable practice. Why watch Step-by-step solutions that match the Punjab Board textbook style. Clear methods (horizontal & vertical) for multiplying polynomials. Exam strategies: how to write answers neatly and how to avoid common mistakes. EXERCISE 2.3 1. Which of the following algebraic expressions are polynomials? (i) ax² + bx + cy (ii) 2/3x² - x/4 + 1/16 (iii) x³ – 4x² + 1/x (iv) 2x² + 4x + 3 (v) 1/2x²y + 9x³ (vi) -1/2x (vii) 2x³y + 2 (viii) z² + 2z + 12 2. Find the degree of polynomials given in question 1. 3. Add the following expressions: (i) 4x² – 8x + 12, 6x² + 5x + 4 (ii) 5x² + 4xy + 7x + 6xy + 2 (iii) x² + 4x² + 3x + 4, 3x² + 4x + 4 (iv) x² – 2x + 7, 4x² + 4x + 11, 3x² – 8x + 10 (v) x³ + 2x + 4, 3x² + 2x⁴ + 20x + 4, x⁴ – x³ + 2x² – 4 4. Subtract the first polynomial from the second polynomial. (i) 5x² + 2x – 1, 10x² + 8x + 7 (ii) x² – 7x + 12, 7x² + 12x + 18 (iii) 12x² + 3x – 7, 8x³ – 2q + 3x⁷, 8y⁶ + 7θ⁷ (iv) 3x² – 2xy + 4y² – 1, 2x² – 3y – 4z – 1, 4x² + 3x + 4y + 12 (v) x³ + 2xy + 3x²y + y³, 4x² + 3y² – 3x³y + 4z + xy² + 10 (vi) 2x³ – 4x + 3, x³ + 4xy – 2x – 1 5. The sum of two polynomials is 6x² + 3x + 8 and the polynomial is x² + 2x² + 3x + 2, then find the other polynomial. 6. Subtract 2x² – 4x + 4 from the sum of 2x + 2x² and x² + 6x + 2. "Class 7 polynomials exercise 2.3 solution" "Exercise 2.3 polynomials Punjab board" "7th class maths exercise 2.3 solved" "polynomials class 7 video solution" "how to add polynomials class 7" "degree of polynomial class 7 exercise 2.3" "multiply monomial by monomial example class 7" "exercise 2.3 questions and answers class 7" "mathematics class 7 polynomials Urdu" "Punjab board maths class 7 exercise 2.3 PDF" #Class7Maths #PunjabBoard #Polynomials #Exercise2_3 #MathsForKids #Algebra7 #ExamPreparation #MathsSolutions #StudyTips #SchoolMath