Prepare for Your CBSE Class 10 Maths Board Exam
Looking for Class 10 Maths Polynomials important questions with answers? This practice set from The Busy Brains brings together section-wise CBSE board questions from the last five years, covering the question formats provided in this collection.
The questions are organised into Section A (1 mark), Section B (2 marks), Section C (3 marks) and Section D (5 marks) to help you practise according to the marks assigned to each question. Use this worksheet for CBSE Class 10 Mathematics revision, school tests, pre-board preparation and board exam practice.
Complete Video Solution – Polynomials
Watch the complete explanation of the Polynomials question set and understand how to approach each question.
In this video, you will get:
- Step-by-step solutions for Sections A, B, C and D
- Board-exam answer presentation tips
- Guidance on common calculation mistakes
- Revision of important concepts from Polynomials
Recommended: Watch the full video before attempting the questions independently.
Watch on YouTubeClass 10 Polynomials Important Questions with Solutions
Practise important CBSE Class 10 Maths Polynomials questions from previous-year board exam papers. Revise MCQs, short-answer questions, long-answer questions, zeroes of polynomials and the relationship between zeroes and coefficients with one complete video solution.
Section A – Polynomials MCQs
Multiple-choice and objective questions · 1 mark each
1. If the zero of the polynomial p(x) = 2x + 3 is ______.
2. The number of zeroes of a polynomial represented by a straight line parallel to the x-axis is ______.
3. If the graph of a polynomial cuts the x-axis at three points, the number of zeroes is ______.
4. The zero of the polynomial x − 7 is ______.
5. Find the value of k if x = 2 is a zero of the polynomial kx − 4.
6. A quadratic polynomial can have at most how many zeroes?
7. If p(0) = 5, then the constant term of the polynomial is ______.
Section B – Short Answer Questions
Linear polynomials, degree and zeroes · 2 marks each
1. Find the zero of the linear polynomial 3x − 9.
2. Find the value of k if x = 1 is a zero of the polynomial kx − 2.
3. Find the number of zeroes of a polynomial whose graph is given.
4. Write the degree of the polynomial 5x³ − 4x² + x − 1.
5. If α is a zero of the polynomial 2x + 5, find 2α + 5.
Section C – Short Answer Questions
Quadratic polynomials and relationships between zeroes and coefficients · 3 marks each
1. Find a quadratic polynomial whose zeroes are 2 and −3.
2. Find the zeroes of the polynomial x² − 7x + 10.
3. If the sum and product of zeroes of a quadratic polynomial are 5 and 6 respectively, find the polynomial.
4. Find the quadratic polynomial whose zeroes are the reciprocals of 2 and 3.
5. Verify the relationship between zeroes and coefficients for x² − 5x + 6.
Section D – Long Answer Questions
Graphical method, cubic polynomials and verification · 5 marks each
1. Find the zeroes of the polynomial using graphical method.
2. Find the quadratic polynomial whose sum and product of zeroes are −1 and −6 respectively.
3. Find the zeroes of the polynomial x³ − 6x² + 11x − 6 and verify the relationship between zeroes and coefficients.
4. Find a polynomial of degree 3 whose zeroes are 1, 2 and 3.
5. Find the zeroes of the polynomial using graphical method:
x² − 4x + 3
Quick Revision Tips for Class 10 Polynomials
- Revise the meaning of zeroes of a polynomial.
- Practise finding zeroes of linear and quadratic polynomials.
- Understand the relationship between zeroes and coefficients.
- Revise how the graph of a polynomial represents its zeroes.
- Show all calculation steps clearly in long-answer questions.
Why Practise Previous-Year Polynomials Questions?
Practising previous-year questions helps Class 10 students become familiar with different question formats, revise essential algebra concepts and identify topics that need more attention. Use this Polynomials worksheet alongside your NCERT textbook and classroom notes for a more organised CBSE Mathematics revision routine.
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Continue your Class 10 Maths preparation with educational videos, revision resources and practice questions from The Busy Brains.
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Frequently Asked Questions
1. Which topics are covered in Class 10 Polynomials?
This question set covers zeroes of polynomials, degree of a polynomial, graphical representation of zeroes, quadratic polynomials and the relationship between zeroes and coefficients.
2. How can I prepare for Polynomials in the CBSE Class 10 Maths exam?
Revise the NCERT chapter, practise different question types, solve previous-year questions and review the step-by-step video explanations.
3. Where can I watch the Polynomials video solution?
You can visit The Busy Brains YouTube channel to access its available educational videos.
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