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Class 10th Mathematics Chapter 2 Polynomials – Important Questions

Important questions with answers for Class 10th Mathematics Chapter 2 Polynomials, based on the NCERT CBSE syllabus.

Topics covered in Polynomials

Frequently asked questions

Where can I find important questions for Class 10th Mathematics Chapter 2 Polynomials?

This page lists important questions with answers for Polynomials. Topics covered: Zeros of polynomials, Geometrical meaning of zeros, Relationship between zeros and coefficients, Division algorithm.

Are Polynomials important questions free?

Yes, Notebook gives free NCERT CBSE important questions for Class 10 Mathematics.

How to prepare Polynomials for Class 10 Mathematics exams?

Read the Polynomials notes first, revise the key topics (Zeros of polynomials, Geometrical meaning of zeros, Relationship between zeros and coefficients, Division algorithm), then practise the important questions and previous year questions (PYQ) for this chapter.

Where can I find Class 10th Mathematics Chapter 2 Polynomials important questions for quick revision?

You are on the right page: this important questions page for Polynomials covers Class 10 Mathematics for the CBSE exam 2026-27. Use the tabs on this chapter for notes, important questions and PYQ.

Is Class 10th Mathematics Chapter 2 Polynomials important for the CBSE exam 2026-27?

Polynomials is part of the Class 10 Mathematics NCERT CBSE syllabus. Notebook gives notes, important questions and PYQs for it, free.

Also see: Class 10th Mathematics Chapter 2 Polynomials Notes · Class 10th Mathematics Chapter 2 Polynomials PYQ

Polynomials

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1 Mark
How many zeroes can a quadratic polynomial have?
Ans: A quadratic polynomial can have at most 2 zeroes.
2 Marks
Find the zeroes of the polynomial x² – 3 and verify the relationship between zeroes and coefficients.
Ans: x² – 3 = 0 → x = ±√3. Sum = 0 = -0/1 = -b/a ✓. Product = -3 = -3/1 = c/a ✓.
3 Marks
Find a quadratic polynomial with sum of zeroes 1/4 and product -1.
Ans: k[x² - (sum)x + product] = k[x² - x/4 - 1] = k/4[4x² - x - 4]. So the polynomial is 4x² - x - 4.
Other chapters in Mathematics · Class 10 View all Mathematics chapters →
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