PSEB Solutions for Class 10 Maths Chapter 2 Polynomials Ex 2.1 Guide
Table of Contents
Question 1. The graphs of y = p (x) are given in Fig. below, for some polynomials p(x). Find the number of zeroes of p (x), in each case
Solution:
The graphs of y = p (x) are given in figure above, for some polynomials p (x). The number of zeroes of p (x) in each case are given below:
(i) From the graph, it is clear that it does not meet x-axis at any point.
Therefore, it has NIL; no. of zeroes.
(ii) From the graph, it is clear that it meets x- axis at only one point.
Therefore, it has only one no. of zeroes.
(iii) From the graph, it is clear that it meets x-axis at three points.
Therefore, it has three no. of zeroes.
(iv) From the graph, it is clear that it meets x- axis at two points.
Therefore, it has two no. of zeroes.
(v) From the graph, it is clear that it meets x- axis at four points.
Therefore, it has four no. of zeroes.
(vi) From the graph, it is clear that it meets pr-axis at three points.
Therefore, it has three no. of zeroes.
In conclusion, the PSEB Solutions for Class 10 Maths Chapter 2, Polynomials Exercise 2.1, offer a comprehensive and structured approach to understanding and solving polynomial problems. This guide provides step-by-step explanations and solutions for various types of polynomial equations, helping students grasp the fundamental concepts of polynomials. The solutions are presented in a clear and concise manner, making it easier for students to follow along and apply the concepts to solve similar problems. With the help of this guide, students can strengthen their understanding of polynomials and develop their problem-solving skills, ultimately preparing them for success in their examinations and future mathematical endeavors.