NCERT Solutions for Class 10 Maths Chapter 2 Polynomials

 

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NCERT Solutions for Class 10 Maths Chapter 2 Polynomials: Consider the expression p(x)= x-2, where x is the variable and the maximum power of x is one. That is we will say p(x) is a polynomial in x with degree 1. Consider another polynomial q(x)= x2+2x+2, here the maximum power of the variable x is 2, So we will call it as a polynomial of degree 2 or quadratic polynomial. The value of x for which P(x)=0 is known as zeroes of the polynomial. In these NCERT Solutions for Class 10 Maths Chapter 2 Polynomials, we will study the geometrical interpretation of zeroes of polynomial and how to carry out divisions of the polynomials.

What is the use of Polynomials?. Polynomials are used in various field of Science, for analysis purpose and in the field of economics for cost analysis, etc.  In our daily life, we use polynomials for calculations frequently. For example, The length of a rectangle is 7 cm more than the breadth and the perimeter of the rectangle is 21 cm. Find the breadth and length? This can be solved by formulating a polynomial as x+(x+7)=21. By solving this we will get length as 14cm and breadth as 7cm. 

The main topics of NCERT Solutions for Class 10 Maths Chapter 2 are listed below:

2.1 Introduction

2.2 Geometrical Meaning of the Zeroes of a Polynomial

2.3 Relationship between Zeroes and Coefficients of a Polynomial

2.4 Division Algorithm for Polynomials

One of the concepts of NCERT Solutions for Class 10 Maths Chapter 2 is how to find the number of zeroes if the graph of a polynomial is given? The number of times the graph intersects with x-axis gives the number of zeroes of the polynomial. For example: 

The above graph of a polynomial intersects the x-axis at 4 points, so the number of zeroes =4. There are many problems in NCERT textbook related to all the concept of the chapter. 

NCERT Solutions for Class 10 Maths Chapter 2 Polynomials- Exercise Solutions

 

NCERT Solutions for Class 10 Maths - Chapter-wise

Chapter No.

Chapter Name

Chapter 1

Real Numbers

Chapter 2

Polynomials

Chapter 3

Pair of Linear Equations in Two Variables

Chapter 4

Quadratic Equations

Chapter 5

Arithmetic Progressions

Chapter 6

Triangles

Chapter 7

Coordinate Geometry

Chapter 8

Introduction to Trigonometry

Chapter 9

Some Applications of Trigonometry

Chapter 10

Circles

Chapter 11

Constructions

Chapter 12

Areas Related to Circles

Chapter 13

Surface Areas and Volumes

Chapter 14

Statistics

Chapter 15

Probability

 

NCERT Solutions for Class 10 - Subject Wise

NCERT Solutions for Class 10 Maths

NCERT Solutions for Class 10 Science

 

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