This question set includes section-wise CBSE board questions from the last 5 years, exactly as asked in board exams.
All questions are explained in ONE complete video solution for easy and continuous learning.
Complete Video Solution – Polynomials (All Sections)
Watch Full Explanation of All Questions
In this video, you will get:
• Step-by-step solutions of all sections (A, B, C & D)
• Board-exam presentation tips
• Common mistakes students make
📌 Recommended: Watch the full video before attempting the questions on your own.
Section A – MCQs (1 Mark Each)
2025
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 ______.
2024
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 ______.
2023
5. Find the value of k if x=2 is a zero of the polynomial kx−4.
2022
6. A quadratic polynomial can have at most how many zeroes?
2021
7. If p(0)=5, then the constant term of the polynomial is ______.
Section B – Short Answer Questions (2 Marks)
2025
1. Find the zero of the linear polynomial 3x−9.
2024
2. Find the value of k if x=1 is a zero of the polynomial kx−2.
2023
3. Find the number of zeroes of a polynomial whose graph is given.
2022
4. Write the degree of the polynomial 5x³-4x²+ x-1.
2021
5. If α is a zero of the polynomial 2x+5, find 2α+5.
Section C – Short Answer Questions (3 Marks)
2025
1. Find a quadratic polynomial whose zeroes are 2 and −3.
2024
2. Find the zeroes of the polynomial x²−7x+10.
2023
3. If the sum and product of zeroes of a quadratic polynomial are 5 and 6 respectively, find the polynomial.
2022
4. Find the quadratic polynomial whose zeroes are the reciprocals of 2 and 3.
2021
5. Verify the relationship between zeroes and coefficients for x²−5x+6.
Section D – Long Answer Questions (5 Marks)
2025
1. Find the zeroes of the polynomial using graphical method.
2024
2. Find the quadratic polynomial whose sum and product of zeroes are −1 and −6 respectively.
2023
3. Find the zeroes of the polynomial x³−6x²+11x−6 and verify the relationship between zeroes and coefficients.
2022
4. Find a polynomial of degree 3 whose zeroes are 1, 2 and 3.
2021
5. Find the zeroes of the polynomial using graphical method:
x²−4x+3.
Check the solution and answers of this question paper in the video
