NCERT Class 9 Maths · Chapter 2

NCERT Solutions Class 9 Maths Chapter 2 — Polynomials

Step-by-step solutions for all exercises in NCERT Class 9 Maths Polynomials.

Chapter Overview

Understand degree, zeroes of polynomials, remainder theorem, and factor theorem.

This chapter is part of the NCERT Mathematics textbook for Class 9 and is important for CBSE school examinations. The concepts covered here build the foundation for more advanced topics in higher classes.

Below you will find solved examples from this chapter. Each solution includes detailed step-by-step working so you can understand the method, not just the answer.

Solved Examples from Polynomials

1What is the degree of the polynomial $5x^3 + 4x^2 - 7$?

A.1
B.2
C.3
D.5

Answer: 3

Solution:

Step 1: The terms are $5x^3$, $4x^2$, and $-7$.

Step 2: The highest power of $x$ is 3. [\text{Degree} = 3]

2Which of the following is a monomial?

A.$x + 1$
B.$3x^2$
C.$x^2 + x + 1$
D.$x - y$

Answer: $3x^2$

Solution:

Step 1: A monomial is a polynomial with exactly one term.

Step 2: $3x^2$ is a single term, so it is a monomial.

3The zero of the polynomial $p(x) = 2x - 6$ is:

A.$-3$
B.$3$
C.$6$
D.$-6$

Answer: $3$

Solution:

Step 1: Set $2x - 6 = 0$:

Step 2: $2x = 6$ [x = 3]

4A polynomial of degree 2 is called a:

A.Linear polynomial
B.Quadratic polynomial
C.Cubic polynomial
D.Constant polynomial

Answer: Quadratic polynomial

Solution:

Step 1: Degree 1 = Linear, Degree 2 = Quadratic, Degree 3 = Cubic.

5What is $p(2)$ if $p(x) = x^2 - 3x + 2$?

A.0
B.2
C.4
D.$-2$

Answer: 0

Solution:

Step 1: $p(2) = (2)^2 - 3(2) + 2$

Step 2: $= 4 - 6 + 2$ [= 0]

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Related Chapters

Previous ChapterCh 1: Number SystemsNext ChapterCh 3: Coordinate Geometry

Frequently Asked Questions

Where can I find NCERT Solutions for Class 9 Maths Chapter 2?+
You can find complete NCERT Solutions for Class 9 Maths Chapter 2 (Polynomials) on this page with step-by-step explanations for all exercises.
Are these NCERT Solutions for Class 9 Polynomials updated for 2025-26?+
Yes, these solutions follow the latest NCERT textbook for the 2025-26 academic session and cover all exercise questions.
How to score full marks in Class 9 Polynomials?+
Practice all NCERT exercise questions, understand the concepts behind each formula, and solve additional problems on SparkEd's interactive platform for thorough preparation.
Is Polynomials important for Class 9 exams?+
Yes, Polynomials is an important chapter in Class 9 CBSE Maths. Questions from this chapter regularly appear in school exams and board assessments.
Can I practice more questions on Polynomials?+
Absolutely! SparkEd offers 60+ interactive practice questions for Polynomials with AI-powered doubt clearing and step-by-step solutions.

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