Last updated at March 16, 2017 by Teachoo

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Ex 2.2, 3 Verify whether the following are zeroes of the polynomial, indicated against them. (i) p(x) = 3x + 1, x = – 1/3 Given p(x) = 3x + 1 Putting x = – 1/3 p((−1)/3) = 3 ((−1)/3) + 1 = -1 + 1 = 0 Since p((−1)/3) is equal to 0 Therefore, x = (−1)/3 is a zero of the given polynomial. Ex 2.2, 3 Verify whether the following are zeroes of the polynomial, indicated against them. (ii) p(x) = 5x - 𝜋 , x = 4/5 Given p(x) = 5x – π Putting x = 4/5 p (4/5) = 5 (4/5) – 𝜋 = 4 – 𝜋 Since p(4/5) is not equal to 0 Therefore, x = 4/5 is a not zero of the given polynomial. Ex 2.2, 3 Verify whether the following are zeroes of the polynomial, indicated against them. (iii) p(x) = x2 - 1 , x = 1 , -1 Let p(x) = x2 – 1 Ex 2.2, 3 Verify whether the following are zeroes of the polynomial, indicated against them. (iv) p(x) = (x + 1) (x – 2), x = -1, 2 Let p(x) = (x + 1) (x – 2) Ex 2.2, 3 Verify whether the following are zeroes of the polynomial, indicated against them. (v) p(x) = x2 , x = 0 Given p(x) = x2 Putting x = 0 p(0) = (0)2 = 0 Since p(0) is equal to 0 Therefore, x = 0 is a zero of the given polynomial. Ex 2.2, 3 Verify whether the following are zeroes of the polynomial, indicated against them. (vi) p(x) = lx + m , x = – 𝑚/𝑙 Given p(x) = lx + m Putting x = (−𝑚)/𝑙 p ((−𝑚)/𝑙) = l ((−𝑚)/𝑙) + m = -m + m = 0 Since p ((−𝑚)/𝑙) is equal to 0 Therefore, x = −𝑚/𝑙 is a zero of the given polynomial. Ex 2.2, 3 Verify whether the following are zeroes of the polynomial, indicated against them. (vii) p(x) = 3x2 – 1, x = - 1/√3 , 2/√3 Let p(x) = 3x2 – 1 Ex2.2, 3 Verify whether the following are zeroes of the polynomial, indicated against them. (viii) p(x) = 2x + 1, x = 1/2 Given p(x) = 2x + 1 Putting x = 1/2 p (1/2) = 2 (1/2) + 1 = 1 + 1 = 2 Since p (1/2) is not equal to 0 Therefore, x = 1/2 is not a zero of the given polynomial.

Ex 2.1, 4
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Example 3 Important

Ex 2.2,1 Important

Ex 2.2,3 Important You are here

Ex 2.2,4 Important

Example 7 Important

Ex 2.3,2 Important

Ex 2.3,3 Important

Example 12 Important

Example 15 Important

Ex 2.4,1 Important

Ex 2.4,2 Important

Ex 2.4,3 Important

Ex 2.4,4 Important

Ex 2.4,5 Important

Example 18 Important

Example 21 Important

Example 23 Important

Example 24 Important

Ex 2.5,2 Important

Ex 2.5,3 Important

Ex 2.5,4 Important

Ex 2.5,5 Important

Ex 2.5,7 Important

Ex 2.5,10 Important

Ex 2.5, 11 Important

Ex 2.5,16 Important

Class 9

Important Questions for Exam - Class 9

- Chapter 1 Class 9 Number Systems
- Chapter 2 Class 9 Polynomials
- Chapter 3 Class 9 Coordinate Geometry
- Chapter 4 Class 9 Linear Equations in Two Variables
- Chapter 5 Class 9 Introduction to Euclid's Geometry
- Chapter 6 Class 9 Lines and Angles
- Chapter 7 Class 9 Triangles
- Chapter 8 Class 9 Quadrilaterals
- Chapter 9 Class 9 Areas of parallelograms and Triangles
- Chapter 10 Class 9 Circles
- Chapter 11 Class 9 Constructions
- Chapter 12 Class 9 Herons Formula
- Chapter 13 Class 9 Surface Areas and Volumes
- Chapter 14 Class 9 Statistics
- Chapter 15 Class 9 Probability

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.