Class 10 Polynomials Board PYQs Hub
Topic-wise collection of CBSE Class 10 Mathematics Chapter 2 Polynomials previous year board questions. Revise finding zeroes of quadratic polynomials, verifying relations between coefficients and zeroes $(\alpha + \beta = -b/a, \alpha\beta = c/a)$, and evaluating symmetric expressions with verified solutions.
Class 10 Chapter 2 Polynomials Previous Year Questions
Use this chapter hub to revise Polynomials through topic-wise previous year questions. These links help students move from chapter-level revision to focused CBSE board exam practice.
Topic-wise PYQ Practice
CBSE Board Exam Blueprint & Topic Weightage: Polynomials
In the Class 10 CBSE Board Examination, Polynomials is a high-yielding component of Unit 2: Algebra, consistently carrying 4 to 5 marks in the annual 80-mark written board paper. Recurring question formats observed over past board papers include:
- Section A (1 Mark MCQ): Identifying number of zeroes from graphs of \(y = p(x)\) by counting \(x\)-axis intersections, finding zeroes of simple quadratic polynomials, or calculating \(\alpha + \beta\) and \(\alpha\beta\).
- Section B / C (2 or 3 Marks): Finding zeroes of quadratic polynomials by splitting the middle term and verifying the relationship between zeroes and coefficients: \(\alpha + \beta = -b/a\) and \(\alpha\beta = c/a\).
- Section C / D (3 Marks): Forming a quadratic polynomial given its zeroes or the sum and product of zeroes, and evaluating symmetric expressions such as \(\alpha^2 + \beta^2\), \(1/\alpha + 1/\beta\), and \(\alpha/\beta + \beta/\alpha\).
Key Revision Tips & Common Pitfalls
Be careful with signs when using \(\alpha + \beta = -b/a\). When forming a polynomial, always write the general family \(k[x^2 - (\alpha+\beta)x + \alpha\beta]\) where \(k\) is a real constant. When factoring polynomials with roots like \(4\sqrt{3}x^2 + 5x - 2\sqrt{3}\), verify intermediate products carefully.