Monomath – CBSE | GSEB | IB | JEE Maths by Ajay Yadav (Math King of Katargam) – 15+ Years Experience. Study Notes, Video Lessons, Formula Sheets & PYQs.
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Polynomials

Previous Year Questions (2022-2024)

📅 Year 2022

  1. Find zeroes of 4x2 - 4x - 3 and verify relationship.
    Show Solution
    4x2 - 4x - 3 = 4x2 - 6x + 2x - 3 = 2x(2x-3) + 1(2x-3) = (2x-3)(2x+1)\nZeroes: 3/2, -1/2\nSum = 1 = 4/4 ✓\nProduct = -3/4 ✓
  2. Find polynomial whose zeroes are 2+√3 and 2-√3.
    Show Solution
    Sum = 4, Product = 4-3 = 1\nPolynomial: x2 - 4x + 1

📅 Year 2023

  1. Find zeroes of 4x2 - 4x - 3 and verify relationship.
    Show Solution
    4x2 - 4x - 3 = 4x2 - 6x + 2x - 3 = 2x(2x-3) + 1(2x-3) = (2x-3)(2x+1)\nZeroes: 3/2, -1/2\nSum = 1 = 4/4 ✓\nProduct = -3/4 ✓
  2. Find polynomial whose zeroes are 2+√3 and 2-√3.
    Show Solution
    Sum = 4, Product = 4-3 = 1\nPolynomial: x2 - 4x + 1

📅 Year 2024

  1. Find zeroes of 4x2 - 4x - 3 and verify relationship.
    Show Solution
    4x2 - 4x - 3 = 4x2 - 6x + 2x - 3 = 2x(2x-3) + 1(2x-3) = (2x-3)(2x+1)\nZeroes: 3/2, -1/2\nSum = 1 = 4/4 ✓\nProduct = -3/4 ✓
  2. Find polynomial whose zeroes are 2+√3 and 2-√3.
    Show Solution
    Sum = 4, Product = 4-3 = 1\nPolynomial: x2 - 4x + 1