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 polynomial x2 - 3 and verify relationship between zeroes and coefficients.
    Show Solution
    x2 - 3 = (x - √3)(x + √3)\nZeroes: √3, -√3\nSum = 0 = -(-3)/1 ✓\nProduct = -3/1 ✓
  2. Divide 2x2 + 3x + 1 by x + 2 and verify division algorithm.
    Show Solution
    Quotient = 2x - 1, Remainder = 3\nVerification: (x+2)(2x-1) + 3 = 2x2 + 3x + 1 ✓

📅 Year 2023

  1. If alpha and beta are zeroes of x2 - 5x + 6, find 1alpha + 1beta.
    Show Solution
    alpha + beta = 5, alpha x beta = 6\n1alpha + 1beta = alpha + betaalpha beta = 56
  2. Find zeroes of polynomial x2 - 3 and verify relationship between zeroes and coefficients.
    Show Solution
    x2 - 3 = (x - √3)(x + √3)\nZeroes: √3, -√3\nSum = 0 = -(-3)/1 ✓\nProduct = -3/1 ✓

📅 Year 2024

  1. Divide 2x2 + 3x + 1 by x + 2 and verify division algorithm.
    Show Solution
    Quotient = 2x - 1, Remainder = 3\nVerification: (x+2)(2x-1) + 3 = 2x2 + 3x + 1 ✓
  2. If alpha and beta are zeroes of x2 - 5x + 6, find 1alpha + 1beta.
    Show Solution
    alpha + beta = 5, alpha x beta = 6\n1alpha + 1beta = alpha + betaalpha beta = 56