Class 10 Mathematics — Chapter 2: Polynomials
67 practice questions · 23 Easy · 23 Medium · 21 Hard
Practise Class 10 Mathematics Chapter 2, "Polynomials", with 67 NCERT-aligned multiple-choice questions. The set is split into 23 Easy, 23 Medium and 21 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams and the JEE & NEET foundation years.
"Polynomials" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Polynomials, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 10 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 67.
Key concepts: Polynomials (Class 10 Mathematics)
A polynomial's zeroes are the x-values where its graph cuts the x-axis. This chapter links those zeroes to the polynomial's coefficients.
- Degree
- The highest power of the variable. Linear = degree 1, quadratic = degree 2, cubic = degree 3.
- Zero of a polynomial
- A value k for which p(k) = 0. Geometrically, the x-coordinate where the graph meets the x-axis.
- Number of zeroes
- A polynomial of degree n has at most n zeroes, so a quadratic has at most 2 and a cubic at most 3.
- Zeroes and coefficients (quadratic)
- For ax² + bx + c, the sum of zeroes = −b/a and the product of zeroes = c/a.
- Forming a quadratic
- Given zeroes α and β, a quadratic is x² − (α + β)x + αβ.
Key formulas — Polynomials
💡 Exam tips for Polynomials
- Watch the sign: the sum of zeroes is −b/a, not +b/a.
- The number of times the graph crosses the x-axis equals the number of real zeroes.
Sample questions
A quadratic polynomial can have at most how many zeroes?
A polynomial of degree n has at most n zeroes. Quadratic (degree 2) → at most 2.
If α and β are the zeroes of x² − 7x + 10, then α + β =
For ax² + bx + c, sum of zeroes = −b/a = −(−7)/1 = 7.
If α and β are zeroes of x² − 5x + 6, then α² + β² =
α + β = 5, αβ = 6. α² + β² = (α + β)² − 2αβ = 25 − 12 = 13.
Polynomials — FAQs
What are the key concepts in Class 10 Mathematics Polynomials?+
A polynomial's zeroes are the x-values where its graph cuts the x-axis. This chapter links those zeroes to the polynomial's coefficients. Key ideas include Degree, Zero of a polynomial, Number of zeroes, Zeroes and coefficients (quadratic), Forming a quadratic.
What does Class 10 Mathematics Chapter 2 (Polynomials) cover on XamBaaz?+
It covers 67 NCERT-aligned MCQs on "Polynomials" — 23 Easy, 23 Medium and 21 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams and the JEE & NEET foundation years.
Are these "Polynomials" questions free to practise?+
Yes — sign in with Google to practise "Polynomials" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Polynomials" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
Practise all 67 questions free
Timed quizzes, instant scoring, streaks and XP. Sign in with Google — no card needed.
Start this chapter free →