Students can access the NCERT Solutions for Class 10 Maths Chapter 2: Polynomials. Curated by experts according to the CBSE syllabus for 2025–2026, these step-by-step solutions make Maths much easier to understand and learn for the students. These solutions can be used in practice by students to attain skills in solving problems, reinforce important learning objectives, and be well-prepared for tests.

Frequently Asked Questions of NCERT Solutions for Class 10 Maths Chapter 2: Polynomials

1. How do you find the number of zeroes from a graph?

The number of zeroes of a polynomial is equal to the number of points where its graph intersects or touches the x-axis. Each x-intercept represents one zero of the polynomial.

2. What are the formulas for the relationship between zeroes and coefficients?

For a quadratic polynomial ax² + bx + c:

Sum of zeroes = −b/a
Product of zeroes = c/a

3. How do you construct a quadratic polynomial when its zeroes (or their sum and product) are given?

If the zeroes are known, first find their sum and product. Then use the formula:

x² − (sum of zeroes)x + (product of zeroes)

to construct the quadratic polynomial.

4. What is the Division Algorithm for polynomials?

The Division Algorithm states:

Dividend = Divisor × Quotient + Remainder

It is used to divide one polynomial by another.

5. What is a polynomial and how is its degree determined?

A polynomial is an algebraic expression made up of variables, constants, and whole number exponents. The degree of a polynomial is the highest power of the variable.

6. What is the geometrical meaning of the zeroes of a polynomial?

The zeroes of a polynomial are the x-coordinates of the points where its graph cuts or touches the x-axis.

7. What is the relationship between the zeroes and coefficients of a quadratic polynomial?

For a quadratic polynomial ax² + bx + c, the sum of the zeroes is −b/a and the product of the zeroes is c/a. This relationship helps in finding or verifying the zeroes of the polynomial.

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