Welcome to Future Study Point! In this post, you will find Class 10 Maths Chapter 2 NCERT Solutions Video with clear, step-by-step video explanations. These solutions are designed to help students understand the concepts, solve NCERT textbook questions, and prepare effectively for the CBSE Board Examination 2027.The complete video solution for Class 10 Maths NCERT Chapter 2 Polynomials is provided at the end of this page.
In Class 10 Maths, Polynomials is an important chapter that builds on the algebraic concepts studied in Chapter 1 – Real Numbers and prepares students for topics covered in Chapter 3 – Pair of Linear Equations in Two Variables.
Class 10 Maths Chapter 2 NCERT Solutions Video are important for students preparing for the CBSE Board Examination 2026–27 because NCERT Mathematics is the foundation of the CBSE curriculum. Solving the NCERT questions helps students understand the concepts clearly and learn how to apply important formulas and relationships in different types of problems.
By practising the NCERT Solutions of Polynomials, students can strengthen their understanding of zeros of polynomials, the relationship between zeros and coefficients, quadratic and cubic polynomials, and the division algorithm. Step-by-step solutions also help students identify the correct method, avoid common mistakes, and improve their accuracy and confidence.
Class 10 Maths Chapterwise NCERT Solutions
Chapter 1 Real Numbers –NCERT Solutions
Regular practice of NCERT questions can help students build a strong foundation for CBSE Board Exam 2026–27 and prepare them for application-based and concept-oriented questions. Students should first try each question on their own and then use the solutions to check their approach, understand mistakes, and improve their problem-solving skills.
Importance of Polynomials in Class 10 Maths
Polynomials is an important chapter in Class 10 Maths and forms a strong foundation for many topics in higher Mathematics. In this chapter, students learn about zeros of polynomials, the relationship between zeros and coefficients, and the division algorithm for polynomials. These concepts help students develop strong algebraic and problem-solving skills.
Polynomials are also widely used in higher classes, especially in algebra, equations, functions, coordinate geometry, and advanced Mathematics. A clear understanding of linear, quadratic, and cubic polynomials helps students solve more complex mathematical problems with confidence.
For students preparing for the CBSE Board Examination 2026–27, understanding Class 10 Maths Chapter 2 – Polynomials is essential. Practising the NCERT Solutions and learning the important concepts and formulas can help students improve their conceptual clarity, accuracy, and overall performance in the Class 10 Maths examination.
Table of Contents
- Important Concepts and Formulas
- NCERT Exercise-wise Video Solutions
- How These Videos Can Help You
- Frequently Asked Questions (FAQs)
- Conclusion
Class 10 Maths Chapter 2 – Polynomials
Polynomials is an important chapter in Class 10 Mathematics. In this chapter, students learn about zeros of a polynomial, the relationship between zeros and coefficients, and the division algorithm for polynomials.
Understanding these concepts is important for building a strong foundation in algebra and solving questions in Class 10 Maths.
In this post, you can watch the complete Class 10 Maths Chapter 2 Polynomials NCERT Solutions through easy-to-understand video explanations.
What You Will Learn in This Chapter
In Class 10 Maths Chapter 2 – Polynomials, you will learn about:
- Polynomials and their degrees
- Zeros of a polynomial
- Geometrical meaning of the zeros of a polynomial
- Relationship between zeros and coefficients
- Quadratic polynomials
- Cubic polynomials
- Division algorithm for polynomials
- Solving NCERT textbook questions step by step
1. Zeros of a Polynomial
The value of x for which a polynomial becomes zero is called the zero of the polynomial.
For example, if:
p(x) = x – 3
Then:
p(3) = 3 – 3 = 0
Therefore, 3 is the zero of the polynomial.
2. Relationship Between Zeros and Coefficients In Quadratic Polynomials
For a quadratic polynomial:
p(x) = ax² + bx + c
If its zeros are α and β, then:
α + β = –b/a
and
αβ = c/a
These relationships are frequently used to solve Class 10 Maths problems.
3. Relationship Between Zeros and Coefficients In Cubic Polynomials
A cubic polynomial is generally written as:
p(x) = ax³ + bx² + cx + d, where a=0
If α, β and γ are the zeros of the cubic polynomial, then the relationships between the zeros and coefficients are:
α + β + γ = –b/a
αβ + βγ + γα = c/a
αβγ = –d/a
Therefore:
- Sum of zeros = –b/a
- Sum of the products of zeros taken two at a time = c/a
- Product of zeros = –d/a
These formulas are important for solving questions based on the relationship between zeros and coefficients of a cubic polynomial.
4. Division Algorithm for Polynomials
The division algorithm states that:
p(x) = g(x) × q(x) + r(x)
where:
- p(x) = dividend
- g(x) = divisor
- q(x) = quotient
- r(x) = remainder
Class 10 Maths Chapter 2 – Polynomials | Complete NCERT Solutions Video
Watch the complete video solution of Class 10 Maths Chapter 2 – Polynomials. The video provides clear explanations of the important concepts and NCERT questions in a simple and easy-to-understand manner.
Watch the Complete Video Solution:
How These Videos Can Help You
These Class 10 Maths Polynomials video solutions are useful for students who want to:
- Understand NCERT concepts in a simple way
- Learn the concepts of zeros of polynomials
- Understand the relationship between zeros and coefficients
- Practise NCERT textbook questions step by step
- Revise important formulas and concepts
- Strengthen their algebra fundamentals
- Prepare effectively for the CBSE Board Examination 2027
❓ Frequently Asked Questions (FAQs)
What is Chapter 2 of Class 10 Maths?
Chapter 2 of Class 10 Maths is Polynomials.
What topics are covered in Polynomials?
The chapter covers zeros of a polynomial, geometrical meaning of zeros, relationship between zeros and coefficients, and the division algorithm for polynomials.
Is this video useful for CBSE Class 10 students?
Yes. The video is designed to help Class 10 students understand the concepts and solve NCERT questions with step-by-step explanations.
How can I prepare Polynomials for the CBSE Board Exam?
Start by understanding the basic concepts and formulas. Then practise the NCERT questions and revise the relationship between zeros and coefficients. Finally, solve sample papers and previous-year questions for better exam preparation.
Conclusion
Class 10 Maths Chapter 2 – Polynomials is an important chapter for developing a strong understanding of algebra. By learning the concepts of zeros, coefficients, and polynomial division and practising NCERT questions, students can improve their problem-solving skills and prepare confidently for their examinations.
Watch the complete Class 10 Maths Polynomials NCERT Solutions video from Future Study Point, practise the questions yourself, and revise the important concepts regularly.
Don’t forget to Like, Share and Subscribe to Future Study Point for more Class 10 Maths NCERT Solutions and CBSE exam preparation videos!
Related Class 10 Maths Resources
Continue your Class 10 Maths preparation with these useful resources from Future Study Point:
📘 Class 10 Maths Chapter 1 – Real Numbers: Complete NCERT Exercise-Wise Video Solutions
📙 Class 10 Maths Chapter 3 – Pair of Linear Equations in Two Variables: Complete NCERT Solutions
📐 Class 10 Maths Chapter 6 – Triangles: Complete NCERT Video Solutions for Triangles
📝 Class 10 Maths Basic Sample Paper Solution: Practise with the Complete CBSE Basic Sample Paper Solution
👉 Explore these resources to strengthen your concepts, revise important topics, and prepare effectively for the CBSE Class 10 Maths Board Examination 2026–27.
