NCERT Solutions for Class 9 Maths Chapter 2: Polynomial is an important chapter and is a part of the CBSE Class 9 Maths Term 2 Syllabus. Every student must cover this chapter to ensure better marks in CBSE Class 9 Maths exams. The chapter helps students understand the fundamentals required to understand complicated topics in the higher grades. All the NCERT Solutions have been solved by the experts of Embibe.
The NCERT Solutions present on this page will help you understand the chapter Polynomial in a better way. All the solutions have been solved in a step by step manner. Going through these solutions will help students to build confidence. improve exam performance and score good marks with ease. Students can also download the NCERT Class 9 Maths Chapter 2 solution in PDF format from this article.
Class 9 Maths Chapter 2: Overview
The NCERT Solutions for Class 9 Maths Chapter 2 Polynomials discusses the Polynomials and their applications. The introduction of this chapter involves whole numbers, integers, and rational numbers. Class 9 Maths Chapter 2 involves Exercise 2.1, Exercise 2.2, Exercise 2.3, Exercise 2.4, and Exercise 2.5. Students can refer to the section-wise topics that they will be studying in this chapter:
Polynomials in One Variable
Zeroes of Polynomial
Factorization of Polynomials
NCERT Solutions for Class 9 Maths Chapter 2: Polynomials (Solved Exercises)
You can also download the NCERT Solutions PDF using the below-provided link and use it while studying offline. Solve the NCERT questions after the end of every chapter. Here are the NCERT Solutions for the in-text questions and exercise questions.
All these NCERT Solutions will help you in finishing your homework. But most importantly, it will help you in learning the concepts thoroughly. If you are able to solve the NCERT in-text questions and exercises, then you will be able to score good marks in the final examination.
Question: Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficients (x2-2x-8) Answer: Given: x2-2x-8
=x2-4x+2x-8 [Factorisation by splitting the middle term] =xx-4+2(x-4) =x-4x+2 We know that the zeroes of the quadratic polynomial ax2+bx+c are the same as the roots of the quadratic equation ax2+bx+c=0.
Therefore, by equating the given polynomial to zero. We get,
⇒x-4x+2=0 ⇒x-4=0 or x+2=0 ⇒x=4 or x=-2 Therefore, the zeroes of x²-2x-8 are 4 and -2. Sum of zeroes =4-2=2=–21=-Coefficient of xCoefficient of x2 Product of zeroes =4×-2=-8=-81=Constant term Coefficient of x2
Hence, the relationship between the zeroes and the coefficients is verified.
Question: Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficients. 4s2-4s+1 Answer: Given: 4s2-4s+1
We know that the zeroes of the quadratic polynomial ax2+bx+c are the same as the roots of the quadratic equationax2+bx+c=0. Therefore, by equating the given polynomial to zero, we get, 4s2-4s+1=0 ⇒(2s-1)2=0 ⇒2s-1=0 ⇒s=12
Therefore, the zeroes of 4s2-4s+1 are 12 and 12
Sum of zeroes =12+12=1=(-(-4))4=-(Coefficient of s)(Coefficient of s2) Product of zeroes =12×12=14=Constant termCoefficient of s2 Hence, the relationship between the zeroes and the coefficients is verified.
Now that we have provided you with the NCERT Solutions for Class 9 Maths Chapter 2, we suggest that you solve the in-text questions and exercises given in NCERT Solutions. This will help you in understanding the concepts much better. NCERT Solutions will also help you during your final examination. We also suggest that you approach your teachers if you don’t understand any solution.
CBSE NCERT Solutions for Class 9 Maths Chapter 2: Description
In this chapter, you will learn the definitions of polynomial, monomial, binomial, trinomial, linear polynomial, quadratic polynomial, cubic polynomial, and real numbers. You will also learn about linear polynomial, remainder theorem, and factor theorem. You will also come across some algebraic identities that you need to learn and use in the exercise to solve various kinds of problems.
FAQs on CBSE Class 9 Maths Chapter 2 NCERT Solutions
Q.1: How many exercises are included in NCERT Class 9 Maths Chapter 2? Ans: The list of exercises in Class 9 Maths Chapter 2 are Introduction, Polynomials in One Variable, Zeroes of Polynomial, Remainder Theorem, Factorization of Polynomials, Algebraic Identities and Summary.
Q.2: Are the NCERT Solutions for Class 9 Maths Chapter 2 easy to understand? Ans: The NCERT Solutions by Embibe will help you better understand the chapter Polynomial. The NCERT Guide for Class 9 Maths Chapter 2 has been explained in a step by step and detailed manner so that any Class 9 student can understand the NCERT Solutions for Class 9 Chapter 2.
Q.3: What will I learn in NCERT Solutions for Class 9 Maths Chapter 2? Ans: The topics discussed in NCERT Solutions for Class 9 Maths involve polynomials in one variable, zeros of a polynomial, Remainder theorem, factorization of polynomials, and algebraic identities.
Q.4: Why should I opt for NCERT Solutions for Class 9 Maths Chapter 2 by Embibe? Ans: The concepts are explained in a simple language in the NCERT Solutions for Class 9 Chapter 2 by Embibe. The NCERT Solutions are prepared by a team of experts at Embibe with the goal of helping students enhance their exam preparation. It will also help you in finishing your homework. Moreover, if you are able to solve the NCERT in-text questions and exercises, then you will be able to score good marks in the final examination.
Q.5: What is an Algebraic identity and what are its uses? Ans: An algebraic identity is an algebraic equation that is true for any value of the variables occurring in it. Algebraic identities are used to factorise the algebraic expressions and to compute the products of some arithmetic expressions without multiplying them directly.